Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A30: 53

Answer

$x^{2}+8x+16$

Work Step by Step

The standard form of a polynomial is $a_{n}x^{n}+a_{n}x^{n-1}+\cdots+a_{1}x+a_{0}$ (written in order, highest degree first. If a term is missing, it means that the coefficient is 0) --- Use the perfect square formula $(A+B)^{2}=A^{2}+2AB+B^{2}$ $(x+4)^{2}=x^{2}+2\cdot x\cdot 4+4^{2}$ = $x^{2}+8x+16$
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