How do you factor x² + 10x - 11?

May 8, 2018

$\left(x + 11\right) \left(x - 1\right)$

Explanation:

${x}^{2} + 10 x - 11 = {x}^{2} + 11 x - x - 11$

Factorizing

$x \left(x + 11\right) - 1 \left(x + 11\right)$

$= \left(x + 11\right) \left(x - 1\right)$

May 8, 2018

$\left(x + 11\right) \left(x - 1\right)$
$\text{since the coefficient of "x^2" is 1 then}$
$\text{the factors of - 11 which sum to + 10 are + 11 and - 1}$
$\Rightarrow {x}^{2} + 10 x - 11 = \left(x + 11\right) \left(x - 1\right)$