Let p and q be n-degree and m-degree polynomials with n >= m >= 1. Consider clockwise rotate the plane region bounded by these two polynomials until its axis of rotation will be parallel to the x-axis (see figure below). Here, the axis of rotation is the straight line, r, that passes through the two points of intersection, A and B, of the polynomials, p and q, such that are located at the lowest and highest x-values, respectively, and the center of rotation is located at the y-axis.
Find two 2×2 matrices, M = [A, B] and Mrotated, where
  • A and B are the 2×1 vectors corresponding to the endpoints;
  • Mrotated stands for the rotated endpoints A and B.
input: (p, q)
output: [M, Mrotated]
Rotate plane region
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Last Solution submitted on Feb 03, 2026

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Matthew Bolyard

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