find the complex zeros of the polynomial function. write f in factored form. use complex zeros to write f in factored form

Question

f(x)= x^3-6x^2+21x-26

Answer 1

What do you mean by "complex zeroes"? You must mean the complex values of x that result in a zero for f(x).
Inspection indicates that x = 2 is a root, so (x-2) is a factor. Divide f(x) by x-2 for the remaining quadratic factor, which should be x^2 -4x +13.
That will have two complex roots. Find them.