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.4 Factoring Polynomials - A.4 Assess Your Understanding - Page A41: 135


One possible answer: $$x^2-2x+1=(x-1)^2.$$

Work Step by Step

Polynomials that factor into a perfect square have the form $$x^2-2bx+b^2=(x-b)^2$$ or $$x^2+2bx+b^2=(x+b)^2$$ As one example, we can choose $b=1$ in the first equation to obtain: $$x^2-2x+1=(x-1)^2.$$
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