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: 51

Answer

$7x^{3}+4x^{2}+8x-10$

Work Step by Step

We are given $(9x^{3}-2x^{2}+4x-7)-(2x^{3}-6x^{2}-4x+3)$. To subtract two polynomials, we can add the opposite of the second polynomial to the first polynomial. $(9x^{3}-2x^{2}+4x-7)+(-2x^{3}+6x^{2}+4x-3)$ Next, we can combine like terms. $(9x^{3}-2x^{3})+(-2x^{2}+6x^{2})+(4x+4x)+(-7-3)=7x^{3}+4x^{2}+8x-10$
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