college algebra
posted by Bella on .
find the complex zeros of the polynomial function. write f in factored form. use complex zeros to write f in factored form
f(x)= x^36x^2+21x26

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 (x2) is a factor. Divide f(x) by x2 for the remaining quadratic factor, which should be x^2 4x +13.
That will have two complex roots. Find them.