Question

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

Answer 1

`(x+2)(x-4)`

Step-by-step 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.