Question

Find all real and imaginary roots of the polynomial equation 3x^4-x^3+4x^2-2x-4=0

Answer 1

a little synthetic division shows that

3x^4-x^3+4x^2-2x-4 = (x-1)(x+2)(x-2)(3x+1)

that should help

Answer 2

oops my bad

(x-1)(3x+2)(x^2+2)