Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 10 - Section 10.6 - Factoring General Trinomials - Exercise - Page 356: 36

Answer

$$(6x^2+5)(7x^2-8) .$$

Work Step by Step

For the polynomial $$ 42x^4 -13x^2 -40 $$ we check the factors of $ac=42(-40)=-1680$. The only factors that can give the right middle term are $-48$ and $35$, as follows $$ 42x^4 -13x^2 -40 =(6x^2+5)(7x^2-8) .$$
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