Answer
(z+4)(z-2)
Work Step by Step
Given the polynomial
$z^{2}$ + 2z - 8
*** We break of the middle term into two factors that add to give +2 and multiply to give -8. The two numbers are +4 and -2.
$z^{2}$ + 4z - 2z - 8
We take the GCD of the first two and the GDC of the last two terms.
z(z+4) -2(z+4)
We take (z+4) and factor it out which gives us.
(z+4)(z-2)
