Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.3 - Factoring Trinomials of the Form ax2+bx+c - Exercise Set: 11

Answer

(2x+1)(x-5)

Work Step by Step

Factor: $2x^{2}-9x-5$ Factors of $2x^{2}$: $2x \times x$ Factors of $-5$: $-5\times1, 5\times-1$ Try combinations of these factors: $(2x-5)(x+1) = 2x^{2}-3x-5$ Incorrect middle term $(2x+1)(x-5) = 2x^{2}-9x-5$ Correct middle term
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