Question

Factor using reverse FOIL:
`{x}^(2) + 8x + 12`

Answer 1

`\begin{gathered} x^2\text{ + 8x + 12} \\ 1\text{ x 12 = 12} \\ \text{ 12 2} \\ \text{ 6 2} \\ \text{ 3 3} \\ \text{ 1} \\ \text{ x}^2\text{ + 2x + 6x + 12} \\ x(x\text{ + 2) + 6(x + 2)} \\ \text{ (x + 2)(x + 6)} \end{gathered}`

The answer is (x + 2)(x + 6)