Question

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

-7, -6 (multiplicity 2), 2, 5
Leave your answer in factored form.
f(x) =

Answer 1

To find the polynomial f(x) with the given zeros, we can use the factored form. Since -6 has a multiplicity of 2, we can write the factors as (x + 6)^2. Therefore, the factored form of f(x) is:

f(x) = (x + 7)(x + 6)^2(x - 2)(x - 5)