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 70: 133

Answer

makes sense.

Work Step by Step

In the example given in the previous exercise: we start with $4x^2-100$ and factor out $4$ to get $4(x^2-25)$, which makes it easier to reach $4(x+5)(x-5)$. Otherwise, if you factor like so: $4x^2-100=(2x+10)(2x-10)$, you will need to factor out $2$ from two individual binomials. Thus the statement makes sense.
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