Factor by Grouping 4y^3-7y^2-24y+42

$4 y^{3} - 7 y^{2} - 24 y + 42$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 y^{3} - 7 y^{2}) - 24 y + 42$

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

$y^{2} (4 y - 7) - 6 (4 y - 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 y - 7$ .

$(4 y - 7) (y^{2} - 6)$