College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.7 - Rational Expressions - R.7 Assess Your Understanding - Page 71: 56


LCM = $(x-4)^{2}(x+3)$

Work Step by Step

Step 1: Factor each polynomial completely. For $x^{2}+bx+c$, we search for factors of c whose sum is b: $x^{2}-x-12...\qquad $...-4 and +3 $=(x-4)(x+3)$ $x^{2}-8x+16=...\qquad $...-4 and -4 $=(x-4)^{2}$ Step 2: The LCM is the product of each of these factors raised to a power equal to the greatest number of times that the factor occurs in the polynomials. LCM = $(x-4)^{2}(x+3)$
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