Question 64087
Rewrite the middle term as the sum of two terms and then factor completely.

4z^3 - 18z^2 – 10z  First factor out the GCF 2z
{{{2z(2z^2-9z-5)}}}
a=2, b=-9, c=-5
Replace the middle coefficient with two numbers that multiply to get ac, but add to get b.
ac=2(-5)=-10
-10(1)=-10
-10+1=-9
{{{2z(2z^2-10z+1z-5)}}}  Group the first two and last two terms.
{{{2z((2z^2-10z)+(1z-5))}}}  Factor out the GCF from each group.
{{{2z(2z(z-5)+1(z-5))}}}  Factor out the GCF (z-5)
{{{2z(2z+1)(z-5)}}}
Happy Calculating!!!