Question

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

6 (multiplicity 2), –1, 0
Leave your answer in factored form.

Answer 1

Explanation:

The polynomial with given zero's is:

• f(x) = a(x - 6)(x - 6)(x - (-1))(x - 0)

Or simplified:

• f(x) = ax(x + 1)(x - 6)², here a is the coefficient we don't know