Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises - Page 44: 46



Work Step by Step

When factoring $ax^{2}+bx+c$, we search for factors of $ac$ whose sum is $b,$ and, if we find them, we rewrite $bx$ and proceed to factor in groups. Here, factors of $(12)\times(-5)=-60$ that add to $11$ are ....$+15$ and $-4.$ $12s^{2}+11st-5t^{2}=12s^{2}-4st+15st-5t^{2}$ $=\left(12s^{2}-4st\right)+\left(15st-5t^{2}\right)$ $=4s(3s-t)+5t(3s-t)$ $=(3s-t)(4s+5t)$
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