Answer:
f(x) = x³ - 3x² - 10x
Step-by-step explanation:
Given that the zeros are x = - 2, x = 5 and x = 0 then the factors are
(x + 2), (x - 5) and (x - 0) = x
The polynomial is the product of it's factors, thus
f(x) = x(x + 2)(x - 5) ← expand factors using FOIL
= x(x² - 3x - 10) ← distribute parenthesis by x
= x³ - 3x² - 10x
