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: 10

Answer

$s^{2}+2st-35t^{2}=(s+7t)(s-5t)$

Work Step by Step

$s^{2}+2st-35t^{2}$ To factor this trinomial, open two parentheses, both containing initially the square root of the first term. Using the FOIL method backwards, find two values whose product is equal to the third term, $-35t^{2}$ and that the sum of their coefficients is equal to the coefficient of the second term, $2$: These two values are $7t$ and $-5t$ $s^{2}+2st-35t^{2}=(s+7t)(s-5t)$
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