Question

How do you factor the expression $x^2+5x-6$?

Answer 1

Factorize using the common factor method

The given expression is $x^2+5x-6$.

The given expression can be factorized as follows,

$x^2+5x-6=x^2+6x-x-6$ $\left[\because 6\times 1=6,6-1=5\right]$

$\Rightarrow x^2+5x-6=\left(x^2+6x\right)-\left(x+6\right)$

$\Rightarrow x^2+5x-6=x\left(x+6\right)-1\left(x+6\right)$

$\Rightarrow x^2+5x-6=\left(x+6\right)\left(x-1\right)$

Hence, the factors of $x^2+5x-6$ obtained by using the common factor method is $\left(x+6\right)\left(x-1\right)$.