## Precalculus (10th Edition)

Published by Pearson

# Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A30: 35

#### Answer

$x^{2}+7x+2$

#### 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). Taking down the parentheses, the given expression simplifies to: $= x^{2}+4x+5+3x-3\qquad$ Combine like terms: $=x^2 + (4x+3x)+(5-3) \\=x^{2}+7x+2$

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