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: 27

Answer

$-7x^2-13x-7$

Work Step by Step

We write an expression to express this addition problem: $(2x^2-7x-10)+(-6x-2)+(-9x^2+5)$ We use the commutative, associative, and distributive properties to group like terms: $(2-9)x^2+(-7+(-6))x+(-10+(-2)+5)$ We combine the like terms within each set of parentheses: $-7x^2+(-13x)+(-7)=-7x^2-13x-7$
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