Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.2 Factoring - R.2 Exercises - Page R-8: 11



Work Step by Step

In order to factor the expression: $$y^2-4yz-21z^2$$ Consider all the pairs of factors of $-21z^2$. Find the pair that sums to $-4z$: $$-7z\times 3z = -21z^2$$ $$-7z+3z=-4z$$ Therefore, $$y^2-4yz-21z^2=(y-7z)(y+3z)$$
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