## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Appendix A - Exercise Set - Page 976: 51

#### Answer

Appendix A - Ex. Set : 51 (Answer) $3x^2 - 8x - 11 = (3x - 11)(x + 1)$

#### Work Step by Step

Appendix A - Ex. Set : 51 (Solution) $Factor : 3x^2 - 8x - 11$ Factors of 3$x^2$ : $3x\cdot x$ or $-3x\cdot-x$ Factors of -11 : $1\cdot-11$ or $-1\cdot11$ or $11\cdot-1$ or $-11\cdot1$ Try combination of those factors $(3x + 1)(x - 11) = 3x^2 - 32x - 11$ (Incorrect middle term) $(3x - 1)(x + 11) = 3x^2 + 32x - 11$ (Incorrect middle term) $(3x + 11)(x - 1) = 3x^2 + 8x - 11$ (Incorrect middle term) $(3x - 11)(x + 1) = 3x^2 - 8x - 11$ (Correct middle term) $Thus, 3x^2 - 8x - 11 = (3x - 11)(x + 1)$

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