Find a polynomial F(x ) of degree 5 that has the following zeros.

Question

8(multiplicity 2) -2, -9, 0

Leave your answer in factored form.

Answer 1

F(x) = (x-8)^2(x+2)(x+9)x in factored form, with 5 factors

or

= (x^2-16x+64)(x^2+11x+18)x with 3 factors

or

= x^5-27x^4 -130x^3-992x^2+1152x as an explicit 5th degree polynomial