Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.3 - Dividng Polynomials - 3.3 Exercises: 66

Answer

$P(x)=x^5-5x^3+4x$

Work Step by Step

RECALL: If c is a zero of a polynomial, then $x-c$ is a factor of the polynomial. Since -2, -1, 0, 1, and 2 are zeros of the polynomial, then (x+2),(x+1),(x), (x-1), and (x−2) are factors of the polynomial. Thus, one polynomial of degree 5 with the given zeros is: $\\P(x)=(x+2)(x+1)(x)(x−1)(x-2) \\P(x)=x^5-5x^3+4x$
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