Question

How do you factor $x^2-x-6$?

Answer 1

Find the factors of the given expression.

Consider the given expression $x^2-x-6$.

Factoring the given expression by regrouping terms method:

$\begin{array}{rcl}{x}^2-x-6& =& x^2-3x+2x-6\\ & \Rightarrow & x^2-x-6=x\left(x-3\right)+2\left(x-3\right)\\ \therefore x^2-x-6& =& \left(x+2\right)\left(x-3\right)\end{array}$

Hence, the factors of the given expression ${\mathit{x}}^{\mathbf{2}}\mathbf{-}\mathit{x}\mathbf{-}\mathbf{6}$ are $\mathbf{(}\mathbf{x}\mathbf{+}\mathbf{2}\mathbf{)}\mathbf{(}\mathbf{x}\mathbf{-}\mathbf{3}\mathbf{)}$.