Question

Factor the given equation:x^2 -2x -8=0

Answer 1

`(x+2)\cdot(x-4)`

Explanation:

We have the following equation

`x^2-2x-8=0`

We factor by decomposing as follows:

`\begin{gathered} -2x=2x-4x \\ \text{replacing} \\ x^2+2x-4x-8 \\ (x^2+2x)+(-4x-8) \\ x(x+2)-4(x+2) \\ (x+2)\cdot(x-4) \end{gathered}`