College Algebra (10th Edition)

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

Chapter R - Section R.5 - Factoring Polynomials - R.5 Assess Your Understanding - Page 57: 57

Answer

$(x-2)(2x+1)$

Work Step by Step

Group the first two terms together; then, group the last two terms together to obtain: $=(2x^2-4x) + (x-2)$ Factor out the GCF of each group ($2x$ in the first and $1$ in the second) $=2x(x-2) + 1(x-2)$ Factor out the GCF $(x-2)$ to obtain: $=(x-2)(2x+1)$
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