Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set: 115

Answer

$3x^{2}-12x+13$

Work Step by Step

We are given that $Q(x)=4x^{2}-6x+3$ and $R(x)=5x^{2}-7$. $2[Q(x)]-R(x)=2(4x^{2}-6x+3)-(5x^{2}-7)=(8x^{2}-12x+6)+(-5x^{2}+7)$ Combine like terms. $(8x^{2}-5x^{2})-12x+(6+7)=3x^{2}-12x+13$
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