Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set - Page 69: 105

Answer

$ (x^{2}+6)(6x^{2}-1)$

Work Step by Step

Temporarily substitute $t=x^{2}$. The expression is now $6t^{2}+35t-6$ For the trinomial, we search for factors of ac whose sum is b and we find $+36(-1)=-6\cdot 6,\quad 36-1=+35$ rewrite bx and factor in pairs $=6t^{2}+36t-t-6$ $=6t(t+6)-(t+6)$ $=(t+6)(6t-1)$ bring back x $=(x^{2}+6)(6x^{2}-1)$
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