Question

Write the polynomial function, in standard form, that has zeros -2, 5, and 0.

Answer 1

f(x) = x³ - 3x² - 10x

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