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: 77

Answer

$15x^{2}+8x-6$

Work Step by Step

We are asked to subtract $(3x+7)$ from the sum of $(7x^{2}+4x+9)$ and $(8x^{2}+7x-8)$. This is equivalent to the expression $(7x^{2}+4x+9)+(8x^{2}+7x-8)-(3x+7)$. We can subtract the third term from the first two terms by adding the opposite of the third term to the first two. $(7x^{2}+4x+9)+(8x^{2}+7x-8)+(-3x-7)$ Next, we can combine like terms. $(7x^{2}+8x^{2})+(4x+7x-3x)+(9-8-7)=15x^{2}+8x-6$
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