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: 15

Answer

$8x+11$

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: $(3x+4)+(5x+7) \\= (3x+5x)+(4+7) \\=(3+5)x + 11 \\=8x + 11$
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