Factor the polynomial by grouping.

$6x^3-2x^2+3x-1$

• A. $2x^2\left(3x-1\right)$
• B. $\left(2x^2+x\right)\left(3x-1\right)$
• C. $\left(2x+1\right)\left(3x^2-1\right)$
• D. $\left(2x^2+1\right)\left(3x-1\right)$