Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - 7.7 - Factoring Special Products - Monitoring Progress - Page 399: 9

Answer

$(m-1)^2$.

Work Step by Step

The given polynomial is $=m^2-2m+1$ Write the the polynomial as $a^2-2ab+b^2$. $=m^2-2(m)(1)+1^2$. Use perfect square trinomial pattern $a^2-2ab+b^2=(a-b)^2$. We have $a=m$ and $b=1$. $=(m-1)^2$. Hence, the factor of the given polynomial is $(m-1)^2$.
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