Algebra 2 Common Core

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

Chapter 5 - Polynomials and Polynomial Functions - 5-3 Solving Polynomial Equations - Lesson Check: 1

Answer

$(x-6)(x+3)$

Work Step by Step

The leading coefficient is 1 so the trinomial can be factored by looking for the factors of the third term whose sum is equal to the coefficient of the middle term. Note that $-18 = -6(3)$ and $-6 + 3 = -3$. Thus, the factors of the the trinomial are $x-6$ and $x+3$. Therefore, $x^2-3x-18=(x-6)(x+3)$.
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