Question

find the characteristics and rewrite f(x)=2(x-2)(x+6) in standard form

Answer 1

f(x) = 2(x- 2)(x + 6)

We can easily multiply out the last two terms and lastly multiply the product with 2 (The first term)

This gives:

$\begin{gathered} \mleft(x-2\mright)\mleft(x+6\mright) \\ =x(x+6)\text{ - 2}(x+6) \\ =x^2+6x-2x-12 \\ =x^2+4x-12 \end{gathered}$

Therefore, 2(x- 2)(x + 6) gives

$\begin{gathered} =2\text{ (}x^2+4x-12\text{)} \\ =2x^2+8x-24 \end{gathered}$