Because of 6x? +x? - 1
=6x^3-3x^2+4x^2- 1
=(6x^3-3x^2)+(4x^2- 1)
=3x^2(2x- 1)+(2x+ 1)(2x- 1)
=(2x- 1)(3x^2+2x+ 1)
What about polynomial 6x? +x? -1 is divisible by the polynomial 2x- 1.