Question

Find a polynomial f(x) of degree 3 that has the following zeros.

4, 0, -3
Leave your answer in factored form.

Answer 1

f(x) = x(x - 4)(x + 3)

Explanation:

given f(x) with zeros x = a and x = b then the corresponding factors are

(x - a) and (x - b)

f(x) is then the product of these factors

Given zeros are x = 4, x = 0, x = - 3 then the factors are

(x - 4) , (x - 0), (x - (- 3)) , that is

(x - 4) , x , (x + 3)

f(x) = x(x - 4)(x + 3)