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: 24

Answer

$-x^2+9x-12$

Work Step by Step

We write an expression to express this addition problem: $(-3x^2+2x-6)+(6x^2+7x+3)+(-4x^2-9)$ We use the commutative and associative properties of addition to group like terms: $(-3x^2+6x^2+(-4x^2))+(2x+7x)+(-6+(3)+(-9))$ We combine the like terms: $-x^2+9x+(-12)=-x^2+9x-12$
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