Write a polynomial

Question

Write a polynomial fx

 that meets the given conditions. Answers may vary.

Degree 4

 polynomial with zeros of 3

,  12

 (each with multiplicity 1

), and 0

 (with multiplicity 2

).

Answer 1

If c is a zero of multiplicity m then there are m factors of the form x - c.

(x-0)²(x-3)(x-12) is such a polynomial (in factored form)