Question

can you please help me with the work sheet and get all the answers and thank you

Answer 1

ANSWER

$(x+2)(x-4)$

EXPLANATION

7) Given;

$f(x)=x^2-2x-8$

Using factors of 2 and -4;

$\begin{gathered} \lparen x^2+2x-4x-8) \\ \left(x^2+2x\right)+\left(-4x-8\right) \\ \end{gathered}$

Factorise;

$\begin{gathered} x\left(x+2\right)-4\left(x+2\right) \\ \end{gathered}$

Factor out the common term;

$\begin{gathered} x(x+2)-4(x+2) \\ (x+2)(x-4) \end{gathered}$

The graphical solution is attached.