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: 55

Answer

$4x^{2}-12x+9$

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 $(A-B)^{2}=A^{2}-2AB+B^{2}$ $(2x-3)^{2}=(2x)^{2}-2\cdot(2x)\cdot 3+3^{2}$ = $4x^{2}-12x+9$
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