Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.3 - Addition and Subtraction of Polynomials - Exercise - Page 221: 31

Answer

$5x^3+13x^2-8x+7$

Work Step by Step

We simplify by removing the parentheses and then add the like terms as follows: $$ (5x^3 - 11x - 1) + (11x^2 + 3) + (3x + 7) + (2x^2 - 2)\\ =5x^3 - 11x - 1 + 11x^2 + 3 + 3x + 7 + 2x^2 - 2\\ =5x^3+13x^2-8x+7 .$$
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