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 - 5.2 Factoring Trinomials of the Type x2+bx+c - 5.2 Exercise Set - Page 317: 54

Answer

not factorable

Work Step by Step

In decreasing order of exponents, the given expression, $ 6+p^2+2p ,$ is equivalent to \begin{array}{l} p^2+2p+6 .\end{array} There are no 2 numbers whose product is $ac= 1(6)=6 $ and whose sum is $b= 2 $ in the expression above. Hence, the given expression is $\text{ not factorable .}$
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