2×3-7×2-6x+21

Group the first two terms and the last two terms.

(2×3-7×2)-6x+21

Factor out the greatest common factor (GCF) from each group.

x2(2x-7)-3(2x-7)

x2(2x-7)-3(2x-7)

Factor the polynomial by factoring out the greatest common factor, 2x-7.

(2x-7)(x2-3)

Factor by Grouping 2x^3-7x^2-6x+21