证明:
因为6x³+x²-1
=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)
所以多项式6x³+x²-1能被多项式2x-1整除.