Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - Factoring and Operations with Polynomials - Exercises - Page 979: 10


$$3(m+\sqrt 3)(m-\sqrt 3)$$

Work Step by Step

Factor $$3m^{2}-9.$$ First factor out a $3$: $$3(m^{2}-3)$$ Find two numbers that are factors of $-3$ and sum to $0$: $$(\sqrt 3)(-\sqrt 3)=-3;\space \sqrt 3-\sqrt 3=0.$$ The polynomial is a product of two binomials: $$3(m^{2}-3)=3(m+\sqrt 3)(m-\sqrt 3).$$
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