Factor by Grouping y^3-5y^2+6y-30

$y^{3} - 5 y^{2} + 6 y - 30$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(y^{3} - 5 y^{2}) + 6 y - 30$

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

$y^{2} (y - 5) + 6 (y - 5)$

Step 2

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

$(y - 5) (y^{2} + 6)$