find the complete zeros of the polynomial function. Write f in factored form.

Question

f(x)=3x^4-10x^3-12x^2+122x-39

**Use the complex zeros to write f in factored form.**

f(x)=

Please show work

Answer 1

f(x) = (x+3)(3x-1)(x^2-6x+13)
the quadratic has roots 3±2i, so
f(x) = (x+3)(3x-1)(x-3-2i)(x-3+2i)