Question

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

f(x)=x^3-10x^2+42x-72

please show work.

Answer 1

all rational roots will be factors of 72. Trying a few values, we get 4 as a root.

f(x) = (x-4)(x^2-6x+18)

use the quadratic formula for the complex roots.