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 - 7.8 - Factoring Polynomials Completely - Exercises - Page 407: 9

Answer

$(m-3)(m+n)$.

Work Step by Step

The given polynomial is $=m^2-3m+mn-3n$ Group the terms. $=(m^2-3m)+(mn-3n)$ Factor each group. $=m(m-3)+n(m-3)$ Factor out $(m-3)$. $=(m-3)(m+n)$ Hence, the complete factor of the polynomial is $(m-3)(m+n)$.
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