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

if f(x) has a root a then x-a is one ofthe factor

Answer 2

(x+2)^2(x-3)^2

Answer 3

if f(x) has a root 'a' of multiplicity 'm' then (x-a)^m is one ofthe factor