Question

Factor completely, then place the factors in the proper location on the grid.

Answer 1

`x^2-2x-24`

To factor this expression we have to find the following

`(x+A)(x+B)`

Where

`\begin{gathered} A\cdot B=-24\to(1) \\ A+B=-2\to(2) \end{gathered}`

we solve (1) and (2) to find our values of the factorization

`\begin{gathered} A=4 \\ B=-6 \\ A\cdot B=-24=4\cdot(-6) \\ A+B=-2=4-6 \\ \end{gathered}`

So the factor of the expresion is

`x^2-2x-24=(x+4)(x-6)`