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

Published by Pearson

# Appendix A - Review - A.4 Factoring Polynomials - A.4 Assess Your Understanding - Page A40: 24

#### Answer

$$(x-2)^2 .$$

#### Work Step by Step

The polynomial $x^2-4x+4$ is a complete square since it is of the form $a^2-2ab+b^2=(a-b)^2$. Thus, by putting $a=x$, $b=2$, we have $$x^2-4x+4=(x-2)^2 .$$

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