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: 58

Answer

$(x+2)(3x-1)$

Work Step by Step

Group the first two terms together; then, group the last two terms together to obtain: $=(3x^2+6x) + (-x-2)$ Factor out the GCF of each group ($3x$ in the first and $-1$ in the second): $=3x(x+2) +(-1)(x+2)$ Factor out the GCF $(x+2)$ to obtain: $=(x+2)[3x+(-1)] \\=(x+2)(3x-1)$
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