Problem 52861. Easy Sequences 37: Natural Factorable Polynomials

Created by Ramon Villamangca

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>A polynomial of the form: </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>x^n+a_2x^{n-1}+a_3x^{n-2}+...+a_{n-2}x^2+a_{n-1}x+a_n</w:t></w:r></w:customXml><w:r><w:t>, for </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n &gt; 1</w:t></w:r></w:customXml><w:r><w:t>, is said to be natural factorable if it can be factored into products of first degree binomials: </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>(x+r_1)(x+r_2)...(x+r_{n-1})(x+r_n)</w:t></w:r></w:customXml><w:r><w:t>, where, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>a_2,\\ a_3,\\ a_4,\\ ...\\ a_{n-1},\\ a_n</w:t></w:r></w:customXml><w:r><w:t> and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>r_1,\\ r_2,\\ r_3,\\ ...\\ r_{n-1},\\ r_n</w:t></w:r></w:customXml><w:r><w:t> are </w:t></w:r><w:r><w:rPr><w:u/></w:rPr><w:t>all</w:t></w:r><w:r><w:t> natural numbers (i.e. integers that are </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\ge1</w:t></w:r></w:customXml><w:r><w:t>).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Given an integer </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>a</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>, write a function that counts the number of all possible natural factorable polynomials that can be formed, wherein </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>1 &lt; a_2\\le a</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example, when </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>a = 4</w:t></w:r></w:customXml><w:r><w:t>, the are </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>7</w:t></w:r></w:customXml><w:r><w:t> possible natural factorable polynomials, namely:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>                                    </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>x^2+2x+1=(x+1)^2</w:t></w:r></w:customXml><w:r><w:t>;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>                                    </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>x^2+3x+2=(x+1)(x+2)</w:t></w:r></w:customXml><w:r><w:t>;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>                                    </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>x^2+4x+3 = (x+1)(x+3)</w:t></w:r></w:customXml><w:r><w:t>;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>                                    </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>x^2+4x+4 = (x+2)^2</w:t></w:r></w:customXml><w:r><w:t>;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>                                    </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>x^3+3x^2+3x+1=(x+1)^3</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>                                    </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>x^3+4x^2+5x+2 = (x+1)^2(x+2)</w:t></w:r></w:customXml><w:r><w:t>; and</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>                                    </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>x^4+4x^3+6x^2+4x+1=(x+1)^4</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Therefore the function output should be </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>7</w:t></w:r></w:customXml><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; "><div style="block-size: 384px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; "><div style="block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">A polynomial of the form: </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="287.5" height="21" style="width: 287.5px; height: 21px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">, for </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="36.5" height="18" style="width: 36.5px; height: 18px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">, is said to be natural factorable if it can be factored into products of first degree binomials: </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="214.5" height="20" style="width: 214.5px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">, where, </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="140" height="20" style="width: 140px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style=""> and </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="131.5" height="20" style="width: 131.5px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style=""> are </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="text-decoration: underline; text-decoration-line: underline; ">all</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style=""> natural numbers (i.e. integers that are </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="25" height="18" style="width: 25px; height: 18px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">).</span></span></div><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="font-weight: bold; ">Given an integer </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);">a</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="font-weight: bold; ">, write a function that counts the number of all possible natural factorable polynomials that can be formed, wherein </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="67.5" height="20" style="width: 67.5px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="font-weight: bold; ">.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">For example, when </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="36.5" height="18" style="width: 36.5px; height: 18px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">, the are </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);">7</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style=""> possible natural factorable polynomials, namely:</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">                                    </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAAAoCAYAAAA7StUmAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAABFqADAAQAAAABAAAAKAAAAADtYoNcAAAKCklEQVR4Ae2be6wdVRXGobTcShBaitUWaSsUKkkDNJAiCJVXiinIW/APhKI2JbQ04oP4gJQGDVVbFQURIpbE8oeKQEEgYqANNtAA1hYqgopUKNRIa20QBHnI7+PuncydzpzZc2bmzJxz1kq+OzN7r9l7rW/vvfZjzt1pJxNjwBgwBowBY8AYMAaMAWPAGDAGjAFjwBgwBowBY8AYMAaMgcYxsHPJFg2jvM+AGWAv8Bi4BfwFmBgDxkD3MlDb2N4Fzu4D/49hC8+HAxNjwBjoTgZqHdsL4OwpcDoYCy4AG4ACzf3AxBioi4ExVHwXWFiXAQ2sdy02fSnQrlrH9iMYOTVm6Id5VmB5DQzE8pr0OAJjZgIRfSP4KjgW7Ab6TSbh8HfB3j3i+Gj80IT3BNizR3xq5Ya2LOeBz7VSIu9Y8DpYCrKktrGts5qLUqx7mfRtQA43UQ7BqHVAATCOraQdAfpB9sXJG8D/gHiYDHpBVuDEi2BCLzjTwgeNr0+BPwG133KQJQpAbwO9lyaNHNvjsVZO3pFmdc3pB1D/qyAeUKLPCozH12xnldXvQ+HXAs1eUb97IbBcik9vgsNAr4oG/lngCRBtv5DAIk6uAurjB+khh9Q6ts/FUDl7dg6DO6WqBnkQvAWuBuOADqn2d89+5pb9+rrVq/IrHFPn+jR4A/jO2e2BZTq+qA1/CnpZZuGcJm6tPu4Evv1CA8tI3tGK7kmwOwiVWsf2Kqz8SailAXqnoqNgcFeAbpbKkSioES5PUZzj8qWj4KO9et1yOwbI/zMrMmQD5fqO2c2BRZPG00CBZRJoipTZf5N80gTu2y80sKicS9x7i/QQKKvQK3NsB1Y7aKyWZ+8JfiNbcS4qIk6fsIvKNylA+9FhKQWpc+r3N76h1Cnqls0YIHvmV2TIGle+6ujmwHKM82NZRTy1W2yZ/TfJho87v9V+eQLLAPovgY1A/T5LFIhaju20QZVVcFa+HPwCOAX8N0u5pvxR1Hsl0OFVkqhx1kcy0vQiKnbbEAa0rZPcPXixvxkM6HztATARHJehGzS2h2cUotXGiWAa0HbgGvAf4OUkbpT/O6D9neQocD2QAX8HXkZyo8/OTZF5AYZE7f1bC/0p5ImH/cAKoO2KlzHcfBaMBovBdmBSHQPqZ+cATQwrA6tpp58HFt01agos4u1CoPskKWVsf4uSXwYKKGokYQnwspQbn65go998HAo2gmkgKvr9wKOg6LZoLmWozjK2QhSTKavRUH3aryeJAoq2U28Cz4WCkYKJRPkvAJ+3UIkFZDPvqizbCqWTqBlXHK1NVxmS004/H1JAjoeq+68mc9/XluewS6oHunfVX5Mk19hutRW6idLHgYngFVfTye56KVeRtAw8Cx4G+4LfAAWP74FVDhqcz4F1oKnbIkzbQcaScoRL1QosSTaReBrYFXzfKQxwPRHsDe4Bz4B7wT/BY6AfRLxtLQH3tUHWBPfOk4Hv5u3nrwaW221qOk98C3wADI8ZP4XnSsa2vkb4SDiTe83KJwEvClDa9nidpOt0r1zgOtfV0YkVy5ddXeu5jgiw+RCnL9+vAbeBlSDkXdSCZDNaKr/pK5aPOjuT+kGetDVBrAxV+rqrW22QV7L6ed7y4vpV998iKxbZqgNctY8Pzkpra2zHI5MKSpIHSTzdZShyLQG6enmbm4n+oQeu4/BBHVQBVHvON0CWPI7Cv8EosMDdT+Ua8i5qPSV/xBsNoqKilW5e2ce90M7kk9XP89rSbfpaZWql/UHguW9rbIcGlociDKnChZHnMm+1hNb2IU10MCfZC4iENJG9n0jLzEjfmfzrwB7gXBC6V1ek1wyrWUNyBUjbr76rkPBHq5yPJaT7pNHuRucCi3xiwlXbs9UJ6Z1KUoC9sVOVxerRpCDZNnjJ9bdoP29C/83lcExZ7Sbx/WzwqY2/oYHlD5St2VsD+/egqn2m7FHQyBIN/lZ6CgrtigbsGeAy8Muchahj+sCi2S+vvJcXWvnly9NBuZAmZW6/0upoarr/aqm+mleK9vMm9N+8Pkf1/ccVfYwoJKGBRXpqMDXWkYVqbP2yGnYOGJaiplXIKeB1sCBFR8k6i2hHzuclrTQWg++0UYCCrxfx9Lh/CLxeiV6rYHaDK+dWrr9190mXp5MS+yRtk/PTf5nL43bRfl53/83ja5Ku58xzmKRTatqPKE1LfY/JpZYeXliVh1+nYYbOQ64PN2eIpv7HSJ/nPUfLh+SW86CAqfLnl1PcDqWsceWrjiJtrC3B1hLQzlehi50P7WzFqu7nVfZf3H53tVyk/2li1Pt7qrAikrYyiJapFYIIiQ64Y6IKPXB/Aj78HPwCzEvxR/vOb6TkDSddgWQd8KuUXuMoxfXEZPGhLV1RtLOl3eQsGp9oWXpiP/TzdO8Hz1UGUNDOZHsrxZA8dYBW8n4ybwJLgLYHFwGdb2jQLAPay/8QfA38C3SjfASjVwDNjhcAnYLHRX7eDNLOlq4g7wBwKPgiOBhMcNBh9yygk/Z2ZlFe65iobcuQOr8KPeUcOIqrJs6k9oz72Cv9vEj7zXCkrI+TU8azAs3JQINkJFgNHgY+AKlSLZU2u7Qfc30AFHGI14NFKyfVvyX4jdaKCgAKiCpTK5abE3AnaVrWS+d4INkPKFiII22hdNil8x/JGUC6wnxwEND7x4GiIt59uUXLSnp/oytfdUxNUuiStEecH4el2FtXPy+7/8bdm+38VvvdGs/MeP6Be1eLh9JF/9MiowSdF7wEJgIvV3Pj81/kXgMmmu/1qrqW2TAHYuQ/gPcn6/pXdH0Afd699wpXzYjfBl5GcaOVjcpTvj7hLQFlSFWBZReM+zyIcrCU5xFlGF1DGRc7Xy5Lqbuufl5m/427psnOT/xqR43dKXGlFs9aZeqjiLavpcsnKdF3Ls3k+rIRlQ/xoMqlsw10+hyhzIbRVxXva8j1K+h7USP4d27hXkvuqGjL4/O1EtLALUOqCCyLMUz7am9v9Lqd9A1lGN7hMkZT32vgzyCJ+7r6eZn911OqHwQ+DzTBRdtO90p7FqjeVnI0mdK/rZVS0Tyd6M8Eu6UUNJZ0Lfvfl5JfZfIcChcBW6qsJKDsMeiIgykpulrZzADxwJyiHpz8Apryf37wG/2r6Jf2s1MoqKOfN6X/xilZSYIC8bR4Rr88K9jpUG56vzgc81OBTP6Pi6Xb444MDJD0KHgG7Lpjdi0pTey/J8CEJqt5tTBilRoDXcjAJGzWOeDPutD2Tpg8nkqeA3kPejthm9VhDDSagVlYp7OGRY22svPG7U6Va4FWdIV/ENd5861GY6B+BmZjgj466NDWZJCBX3PR4fZkI8QYMAbaZ2Aqr/bt4WQCbWeRtkdCuiUZA8aAMWAMGAPGgDFgDBgDxoAxYAwYA8aAMWAMGAPGgDFgDPQqA+8AQz3JI3ruE8EAAAAASUVORK5CYII=" width="139" height="20" style="width: 139px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">;</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">                                    </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="177.5" height="20" style="width: 177.5px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">;</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">                                    </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="177.5" height="20" style="width: 177.5px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">;</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">                                    </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAAAoCAYAAAA7StUmAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAABFqADAAQAAAABAAAAKAAAAADtYoNcAAAKqklEQVR4Ae2aeawW1RmHBRcUEESUFtuCcQMNKRIrCIoRNaDWBa1W/1ABKcG4RetWq1ZJFy1ijTXW1LoGjH+4FXGpGIVgY10qLtRWUCm4cKtccKFFEbfnV+Ykp9M5M/PN8n0z9ztv8twzc5Z33vOe/Xx3s828eA94D3gPeA94D3gPeA94D3gPeA94D3gPeA94D3gPeA94D3gPeA94D1TOA90Ktqg7+k6DA2F7+CvcBa+DF+8B74H6eqBlY3tzfDYfvgrRyfv3wIv3gPdAPT3Q0rF9Dj57DSbCAJgEfwNNNE+AF++BVnmgPx+eB1e0yoAKfncxNl2Q0q6Wju3nMHJYyNChvGti+RR6hNKq/roDBt4Gl1Xd0JLsm4reOyDcpiV9rjS1/dCsBW8J9C3tK61VvCWfHw+aKG6GS+Ag6AkuOYiEDXCtK4MV37Kxrbua0y1D7Md1vHwAOqPVSf6IsZoUn66T0QXZui96NoLqrw5bZ5mL8atgUJ0rEWP7cNJeArVVmDXEjQKXnEzCl3CSKwPxlRzbO2GYKqtBWieZhrGmkdptYulF3ZdZ9a/zxHIe9fgc9oGuKLtTqfVg+mpUqIX94JjK/5w05dkzJk9UUkvH9olYpMoeH2VZRePUWP8G00jtNrFoK23qrrCuE8tIbP8MdJztiqKdxCL4Aq6CgaBL1l2Dd9XdtKN+nXXJ1iSsgr9Db1emiPiWju2FGHRLhFFZo46moJw5L6uChHJbkP4s/BN0L6SGqdLE8gD2qP7HQRlyDEpVZ91JmE5Zx4lFg24paHDtDFWRIvvvaCqlNnLdAdq7bk0+umtyydkkSNcMV4aI+IXEFTm2Iz4RHSVjl8A20cmZYqdTSg7ozFQ6uZC2hWqEsfA+6FtVmlg6ApvOIixavonC1fAYnAmqu6jjxKL2k+23Q5WkyP77Syr2D+juqKAmV/3/mGlHTWou6UGC2n4FqFySJI5tl1FJipPSDyPDj+FI+CQpc0XS98eOS2AmPFURm5ppho4M6g9TQJ2xznJKYPzDda5Egu3bkX4l6PI1StSGL1sJrnzKsgGehMEwDuIk1djW1j9OtNs4FEaAVvLrQfcPRibwoHQNxAeDyDGEN4EMWBnEKdBZTseLKsq2GDUbXoGfZTBwCGXkh11gLiwCI/15mAr94Gr4CKom2gEdDifAqqoZ16A96mc/BA2sBSnLZunnKVWXlk27yiSxx9vyhMyaWOQ3LSx6jpJCxvav0azbYk0oaiQxC4xcy4OJ12Sj38z3hhUwAmzpy8vzoAbMI9MprG925lESUfZO4rSz2stKS3MU0oSi7ah+eTC+UGNqMpEo/V0waVcoMod0UFa6NBEUJarzepAPjJzBg7G5bkehcYHti01lEsIs/TxBpTO5rP7r+uCfSVA7LnVlsOL3CPKqv0ZJYWNbH+oN3wbzK4kGkeQ8UNxtoJnwcdAgei9gIaFBldMq/QfIK2U0jFZpOf+ckHFpJpZelJGfdIS4DsxgPJHnHeBN0O7lEZBvvg95pOiJZSuMeRFWQB8wkndiGYWiNQUw3xjUQDiJvGqHOSnLNNrPU6qNzFZG/438EJEDYCPIF+dCknQjgxZIbSS2CGUewnspY/sBFJtBM55nrcoTwIgG1koweaLCkSZzjrDohtGkuRbUgeVYW9JMLHb+4byYel/P8/2wALaEoqQDRfpGUTuWmehSRxoLtuSdWHRfZXyRJ3zGNirl86XBt9UGjUpSP29UXzh/0f03rN9+v5AX+f5lSNsHVwdlBhEayTS2wzOTURYOtepODCL1q8EsUGjkSx4Gm5eahJpI7gQ5f3IQEmQW3c98CNuBdj96HgZaNaoo4zDqfLgGdEdWpLyKMg2ivPJWBgXfCsp0Ziib1M8zqGxJkYF8VROsNgBTIG0f1C5TO20tuMb3pY5tbW3NyrOS555QhiRtof/DR2WHKhu31Z6XwjgNKunSUShKGt2xSMejYPyUZVehXU5cvVRv6Zcf4vIdQHqcaPJTx9ExSMehsOTdsYT1NfPd7Dqy+D9vP29m/3X5tBsJ6kfqK66+7SqrHaL6V94j+/+dpVwfVAfU7Kcb9xdAl31liHZQ26dQLOfF5euToGMo6b8CXWp9DBMgLNsGERqEJl31jlvdnyb9sKCcVr9GRd+Mq5fRp4k9bnJP2vrqmPAduA7GQVhGWBH78Cx/S16Bjv8+VfeP7v4k6quNSt5+3qz+G1evGSQeCxfBPXEZI9K2CeJ015JL0h6FlE8NpsYaneuL8YXVsNOguyPbUcQfCRtAxw2XJHV+TSxaqYfAn1xKgvg9rTzLed41Jr8mXyPykwZiI3IlmeM6w+8DZfcSPh48RwVLoyKtuOHB82+sONejJmAjp/Iw27xUNHwnsKt/Bvvy9vNm9V9X1dQ+l8PVoCNuo2J8ZnzYaPmG8/+OEmaLr3C3hjUUU2B6YEdnTnXHUF6XlnHY9TX5lsV8VxPOOjDl5sTkzZqkCVP6s2zz7W8u5sXUKSrUNtrUQ6HJc7KtJOY56UiwhrJpyPKrkDnG3Rxjnyup7H5eVP+Nsl99WncpN0UlpozTwqj27psyf65s2iGoY9lOn5JLY/bCZTZM2Kr3iZCTdbxJEq10fwEdk3QLr3IroWgpamJJsssMTtVjfFLmiPT9iVPZvDwToTsp6ujguw8lZQylN6Ofl9V/D6EumhTuAtduvx9pvwCXKF3tpcUxt2hAxMk3SLwVZoG2V6eDzttj4XbQWf4G+CmshXaVy6n47rA3nA/fhUEBuiQ9AnTTnmUVpVjt5FUs1iDKK/Jdo/JaUGAMoQaZdl9JUud+vh+VmwvzYRJE1Vfj9A5YDy45MEjQwphbwhOL3ifAMngb7oPlcCnoQmcJaNAcDsqrSWUP+ADaSXahskPhSZC/5J9j4R1YBOeCRKvnEzAbjod2kQ+paKsmUfXd52FfGAEvQFi6Sj/XWHwEesEncAuERT8GaAepUDsbl5i0Oa4MeeKnUthsX9fxvBoGWwqvstJX8axzsp1uZS3lUaug7OssRfv/Ko07Cr0d2KGffbVCzLSK6lckrQyyU+kaZNrxFSEdKJHes4pQFqMj71EoRnVTkoz9Fzm+1qp+XmT/1YL+L1B/SMMb5NNpwyXaZepHEU1AuUVbRVs+tl428qwV174r0Cr0WZBHP01NDKUHSV0i0JlVYsJNb5v+Gj/15PVu+ImVqInEzPpKfwwuttLr8GjX2X6ug+2yUW2iQfIj2BzCYtpP8XXt5zdiu45waUW7GU1AUXIAkXvBw7A2KkMRcaNQogs7DYooGUDkUbBjVGLJcdPQL+c0Y8cSV5X+JMoHQxyZtDLozDrakZ41+l0Kqv5l71iy2lelcr8NfDXZYVQr+nlV+m/YJQuI0AKio2Nbiia7MTCyLWu/aSJT/Qe2af0bqXYPMuuu5U3YqpGCJeatYv89hPpqsTqzxHp71d4DXcoDO1Mb3QPO7lK1Kq4yO6HqLbi3OJVek/dAe3jgCKqpC/YZ7VHd1LXsTc7FoB1dU/4hLrVlPqP3QE08MBk7dZl7Qk3sbYaZ+gfCZbBbMz7mv+E90FU9MIyKte3lZESj/oC4PhHxPsp7wHvAe8B7wHvAe8B7wHvAe8B7wHvAe8B7wHvAe8B7wHvAe8B7wHugq3rgaz9UP7uUNz72AAAAAElFTkSuQmCC" width="139" height="20" style="width: 139px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">;</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">                                    </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="175.5" height="20" style="width: 175.5px; height: 20px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">                                    </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="219" height="20" style="width: 219px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">; and</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">                                    </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="212.5" height="20" style="width: 212.5px; height: 20px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">Therefore the function output should be </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);">7</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">.</span></span></div></div></div>

Solve

Solution Stats

8 Solutions
6 Solvers

Last Solution submitted on Nov 11, 2022

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers6

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 52861. Easy Sequences 37: Natural Factorable Polynomials

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers6

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Problem 52861. Easy Sequences 37: Natural Factorable Polynomials

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers6

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Players