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: 88

Answer

Chapter 6 - Section 6.3 - Exercise Set: 88 (Answer) (c) is a factored form of $4x^2 + 19x + 12$, and (a), (b) and (d) are not.

Work Step by Step

Chapter 6 - Section 6.3 - Exercise Set: 88 (Solution) For (a), (2x + 4)(2x + 3), the sum of $2x\cdot3$ + $4\cdot 2x$ = $14x$ and $\neq$ 19x; For (b), (4x + 4)(x + 3), the sum of $4x\cdot3$ + $4\cdot x$ = $16x$ and $\neq$ 19x; For (c), (4x + 3)(x + 4), the sum of $4x\cdot4$ + $3\cdot x$ = $19x$ and equal to 19x; For (d), (2x + 2)(2x + 6), the sum of $2x\cdot6$ + $2\cdot 2x$ = $16x$ and $\neq$ 19x; Thus, (c) is a factored form of $4x^2 + 19x + 12$, and (a), (b) and (d) are not.
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