Yes, this is polynomial, and your answer will be:
(2x − 1) (3x − 2) (x^2 + 2x + 2)
Edit:
Factor 6x^4 + 5x^3 − 10x + 4 using the rational roots test.
(2x − 1) (3x^3 + 4x^2 + 2x − 4)
Factor 3x^3 + 4x^2 + 2x − 4 using the rational roots test.
(2x − 1) (3x − 2) (x2 + 2x + 2)
