Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - 5.3 Factoring Trinomials of the Type ax2+bx+c - 5.3 Exercise Set: 32

Answer

prime

Work Step by Step

Rearranging the terms, the given expression is equivalent to \begin{array}{l}\require{cancel} 2t^2-19-6t \\\\= 2t^2-6t-19 .\end{array} Using the factoring of trinomials in the form $ax^2+bx+c,$ the $\text{ expression }$ \begin{array}{l}\require{cancel} 2t^2-6t-19 \end{array} has $ac= 2(-19)=-38 $ and $b= -6 .$ There are no two numbers with a product of $c$ and a sum of $b.$ Hence, the expression is $\text{ prime .}$
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