Factor by Grouping 30x^3-42x^2+5x-7

$30 x^{3} - 42 x^{2} + 5 x - 7$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(30 x^{3} - 42 x^{2}) + 5 x - 7$

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

$6 x^{2} (5 x - 7) + 1 (5 x - 7)$

Factor the polynomial by factoring out the greatest common factor, $5 x - 7$ .

$(5 x - 7) (6 x^{2} + 1)$