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)
$Thus, 3x^2 - 8x - 11 = (3x - 11)(x + 1)$
