calculus
posted by allisonPlease help!! .
Find the complex zeros of the polynomial function. Write f in factored form.
f(x)=3x^410x^312x^2+122x39
Please show wrok, I do not understand how to do this.

The 39 and 3 tempt me to try roots like 1,3,1/3. Go for the lowhanging fruit first
use synthetic division to find that
f(3)=0, so
f(x) = (x+3)(3x^319x^2+45x13)
f(1/3) = 0, so
f(x) = (x+3)(3x1)(x^26x+13)
there are no more real roots