## Algebra 1

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)