Answer:
f(x) = x^2 + 11x + 18.
Step-by-step explanation:
As the zeroes are -2 and -9 the factored form is
f(x) = a(x - (-2))(x - (-9)) where a is some constant.
As we want any quadratic function with theses zeros we can let a = 1 so:
f(x) = (x + 2)(x + 9)
f(x) = x^2 + 2x + 9x + 18
f(x) = x^2 + 11x + 18.