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: 18

Answer

$-x^2-x+3$

Work Step by Step

RECALL: The distributive property states that for any real numbers a, b, and c: $ac+bc= (a+b)c$ Add the polynomials by regrouping the terms and then combining like terms using the distributive property to obtain: $(x^2-2x-1)+(-2x^2+x+4) \\= (x^2-2x^2)+(-2x+x)+(-1+4) \\=(1-2)x^2 + (-2+1)x+3 \\=-x^2+(-x)+3 \\=-x^2-x+3$
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