Question

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

Answer 1

Formula : If 'a' is zero of the polynomial then (x - a) is a factor.

Given zeros are -2, 5 and 0

Hence

(x + 2)(x - 5)(x - 0)  =  0

(x + 2)(x - 5)(x)  =  0

(x + 2)(x^2 - 5x)  =  0

x(x^2 - 5x) + 2(x^2 - 5x)  =  0

x^3 - 5x^2 + 2x^2 - 10x  =  0

x^3 - 3x^2 - 10x  =  0

Answer :

The Polynomial Function is x^3 - 3x^2 - 10x  =  0.