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: 39

Answer

We can't further factor this trinomial.

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 $15\times 8=120$ that add to $24$ are .... we can't find such a pair. $20\times 6$ add to $26,$ $15\times 8$ add to 23, etc. No two add to 24. We can't further factor this trinomial.
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