Factor xy^2+x-y^2z-z

$x y^{2} + x - y^{2} z - z$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x y^{2} + x) - y^{2} z - z$

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

$x (y^{2} + 1) - z (y^{2} + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $y^{2} + 1$ .

$(y^{2} + 1) (x - z)$