Algebra 2 Common Core

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

Chapter 5 - Polynomials and Polynomial Functions - 5-1 Polynomial Functions - Practice and Problem-Solving Exercises: 69

Answer

$x^2+7x+12=(x+4)(x+3)$

Work Step by Step

The leading coefficient is 1. Thus, to factor the trinomial, just look for factors of 12 whose sum is equal to the coefficient of the middle term. Note that $12=4(3) \text{ and } 4+3=7$. Therefore, the factored form of the trinomial is $(x+4)(x+3)$.
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