Let, the function f(x) is of the form given below:
[tex]f(x)=k(x-a)(x-b)[/tex]
Substitute k=-4, a=-8 and b= 5 to obtain the factored form.
[tex]f(x)=-4(x+8)(x-5)[/tex]
Expand the right side of the factored form and simplify to compute the standard form of the function.
[tex]\begin{gathered} f(x)=-4x^2-32x+20x+160 \\ =-4x^2-12x+160 \end{gathered}[/tex]
