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 - Page 195: 28

Answer

$-x^2-2x+3$

Work Step by Step

We write an expression to express this addition problem: $(7x-11)+(-x^2-5x+9)+(-4x+5)$ We use the commutative, associative, and distributive properties to group like terms: $(-1)x^2+(7+(-5)+(-4))x+(-11+9+5)$ We combine the like terms within each set of parentheses: $-x^2+(-2x)+3=-x^2-2x+3$
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