9514 1404 393
Answer:
f(x) = -4(x +3)(x -8)²
Explanation:
Each zero (z) gives rise to a factor (x -z). The given zeros mean the factored form is ...
f(x) = a(x -8)²(x +3)
The value of this at x=0 is ...
f(0) = a(-8)²(3) = 192a
We want the value to be -768, so ...
-768 = 192a
-4 = a . . . . . . . . divide by the coefficient of 'a'
Then the factored form is ...
f(x) = -4(x +3)(x -8)²