Question

Find a polynomial f(x) of degree 5 that has the following zeros. 1, 8, -7, 5, -4. Leave your answer in factored form

Answer 1

f(x) = (x-1) (x-8) (x +7)(x-5) ( x+4)

Explanation:

The zeros of the function are written in the form

f(x) = (x-a)(x-b)..... where the a,b are the zeros

f(x) = (x-1) (x-8) (x - -7)(x-5) ( x--4)

Rewriting

f(x) = (x-1) (x-8) (x +7)(x-5) ( x+4)