Question

Find a polynomial f(x) of degree 4 that has the following zeros.

2,0,-9,-1

Leave your answer in factored form.

Answer 1

Well, if \(r\) is a root, then it can be factored to have \(x-r\). So in this case we have: \[
(x-2)(x-0)(x-(-9))(x-(-1)) = x(x-2)(x+9)(x+1)
\]

Answer 2

Thank You :) I can do the 3rd degree, but 4th degree trips me up :(