Question

Find the polynomial f(x) that has the roots of -2, 3 of multiplicity 2. Explain how you would verify the zeros of f(x).

Answer 1

so -2 must be of multiplicity 2
and 3 must be of multiplicity 2 ?

Answer 2

Look at the examples in your book to clear up the multiplicity of 2 issue julian25 pointed out. Once you know how many roots there are and what their values are, solve them for 0. See, if I have a root of 5, that means x=5, which also means x-5=0. Well, then (x-5) would be a factor! By solving all the roots for 0, you find all the factors. Once you have all the factors, you multiply them and get the polynomial.