Another way to evaluate a polynomial A(x) of degree bound n at a given point x 0 is to divide A(x) by the polynomial (x x 0 ), obtaining a quotient polynomial q(x) of degree bound n 1 and a remainder r, such that A(x) q(x)(x x 0 ) r Clearly, A(x 0 ) r Show how to compute the remainder r and the coe...

The division of a polynomial Ax of degreebound n by a polynomial xx0 is a process of finding the quo ...

Another way to evaluate a polynomial A(x) of degree-bound n at a given point x 0 is

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Another way to evaluate a polynomial A(x) of degree-bound n at a given point x₀ is to divide A(x) by the polynomial (x − x₀), obtaining a quotient polynomial q(x) of degree-bound n − 1 and a remainder r, such that

A(x) = q(x)(x − x₀) + r.

Clearly, A(x₀) = r. Show how to compute the remainder r and the coefficients of q(x) in time Θ(n) from x₀ and the coefficients of A.

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

Question Posted: Feb 26, 2020 05:36 AM

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Another way to evaluate a polynomial A(x) of degree-bound n at a given point x 0 is

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Introduction to Algorithms

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