Find the complex zeros of the polynomial function, and write f in factored form:

Question

f(x)= x^3 - 8x^2 + 30x - 36

Answer 1

any real roots will be 1,2,3,4,6,9,12,24,36

Since the inner coefficients are small, I'd start with small values. A little synthetic division yields

(x-2)(x^2 - 6x + 18)

Now just use the quadratic formula to find the complex roots.