Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.1 - Addition and Subtraction of Polynomials - Problem Set 5.1: 35

Answer

$2x^2+15x-6$

Work Step by Step

We write an expression to express this subtraction problem: $(3x^2+8x-4)-(x^2-7x+2)$ We use the commutative, associative, and distributive properties to group like terms: $(3-1)x^2+(8-(-7))x+(-4-(2))$ We combine the like terms within each set of parentheses: $2x^2+15x+(-6)=2x^2+15x-6$
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