ANSWER
[tex](x+2)(x-4)[/tex]
EXPLANATION
7) Given;
[tex]f(x)=x^2-2x-8[/tex]
Using factors of 2 and -4;
[tex]\begin{gathered} \lparen x^2+2x-4x-8) \\ \left(x^2+2x\right)+\left(-4x-8\right) \\ \end{gathered}[/tex]
Factorise;
[tex]\begin{gathered} x\left(x+2\right)-4\left(x+2\right) \\ \end{gathered}[/tex]
Factor out the common term;
[tex]\begin{gathered} x(x+2)-4(x+2) \\ (x+2)(x-4) \end{gathered}[/tex]
The graphical solution is attached.
