Problem 42775. Raise a polynomial to a power

Created by William

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"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:pPr><w:r><w:t>In Matlab, polynomials are represented by a vector of coefficients. For example, the polynomial p=a*x^2 + b*x + c is represented by the vector p=[a, b, c].</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>In this problem, you will be given a polynomial p and a power N. We would like you to return the vector q that represents the polynominal p^N, the Nth power of p. If p = (x + 1), for instance, you will be returning the coefficients of (x+1)^N. (N will be a positive integer greater than 0.)</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

173 Solutions
71 Solvers

Last Solution submitted on May 26, 2023

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Jess Stuart on 6 Feb 2017

Thought of another way to do this...
q=poly(kron(roots(p),ones(N,1)));

One-liner with size 21, but fails because of trivial roundoff error :(

Lateef Adewale Kareem on 7 Apr 2017

This isnt a particularly difficult problem

you can call this function powerpoly

function ppower = powerpoly(p,n)
ppower = p;
i = 1
while i < n
ppower = conv(ppower,p);
i = i + 1;
end

Solution Comments

Show comments

Problem Recent Solvers71

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 42775. Raise a polynomial to a power

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers71

Suggested Problems

More from this Author2

Problem Tags

Community Treasure Hunt

Problem 42775. Raise a polynomial to a power

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers71

Suggested Problems

More from this Author2

Problem Tags

Community Treasure Hunt

Players