Step 1 :Given the zeros of the polynomial function: \(-1, 2, -5\)
Step 2 :Find the factors using the zeros: \((x + 1)(x - 2)(x + 5)\)
Step 3 :Multiply the factors to find the polynomial function: \(x^3 + 4x^2 - 7x - 10\)
Step 4 :\(\boxed{f(x) = x^3 + 4x^2 - 7x - 10}\)