Question

What is the function in factored form and standard form?

Answer 1

Let, the function f(x) is of the form given below:

`f(x)=k(x-a)(x-b)`

Substitute k=-4, a=-8 and b= 5 to obtain the factored form.

`f(x)=-4(x+8)(x-5)`

Expand the right side of the factored form and simplify to compute the standard form of the function.

`\begin{gathered} f(x)=-4x^2-32x+20x+160 \\ =-4x^2-12x+160 \end{gathered}`