SOLUTION: Rewrite the middle term as the sum of two terms and then factor completely. 4z^3 - 18z^2 – 10z

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Question 64087: Rewrite the middle term as the sum of two terms and then factor completely.
4z^3 - 18z^2 – 10z
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
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%282z%5E2-9z-5%29
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%282z%5E2-10z%2B1z-5%29 Group the first two and last two terms.
2z%28%282z%5E2-10z%29%2B%281z-5%29%29 Factor out the GCF from each group.
2z%282z%28z-5%29%2B1%28z-5%29%29 Factor out the GCF (z-5)
2z%282z%2B1%29%28z-5%29
Happy Calculating!!!