Question

Factor 4a²x - 4ax - 8x.

Answer 1

4x(a+1)(a-2)

Explanation:

Given the polynomial:

`4a^2x-4ax-8x`

First, factor out 4x in all the terms:

`=4x(a^2-a-2)`

Next, factor the expression in the parenthesis:

`\begin{gathered} =4x(a^2-a-2) \\ =4x(a^2-2a+a-2) \\ =4x[a(a-2)+1(a-2)] \\ =4x(a+1)(a-2) \end{gathered}`

The factored form of the polynomial is 4x(a+1)(a-2).