Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A31: 38

Answer

$ -2x^2 +x-6$

Work Step by Step

We simplify by removing the parentheses and then combine the like terms as follows $$ (x^2 + 1) - (4x^2 + 5) + (x^2 + x - 2)=x^2 + 1- 4x^2 - 5+ x^2 + x - 2\\ = -2x^2 +x-6 .$$
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