Answer:
f(x) = 4x^2 -8x -32
Step-by-step explanation:
If "a" is a zero, then (x -a) is a factor. For some scale factor k, the equation can be written ...
f(x) = k(x +2)(x -4)
We want f(0) = -32, so ...
f(0) = -32 = k(0 +2)(0 -4) = -8k
4 = k . . . . . divide by -8
Then the factored equation is ...
f(x) = 4(x +2)(x -4)
Multiplying it out gives ...
f(x) = 4x^2 -8x -32
