SOLUTION: Rewrite the middle term as the sum of two terms and then factor completely. 4z^3-18z^2-10z I think I'm thinking too hard

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Question 116511: Rewrite the middle term as the sum of two terms and then factor completely.
4z^3-18z^2-10z
I think I'm thinking too hard
Answer by jgr45(31) 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%5E3-18z%5E2-10z
I think I'm thinking too hard
___________
Um, I think you are, too ;)
Seriously though, a better approach is to start by factoring out a 2z:
(2z)(2z%5E2-9z-5)
Then, factor the remaining polynomial. We're looking for factors of -5 that total -9 after multiplying one of the factors by 2...and it so happens that -5 and 1 work if they are placed thusly:
(2z)(2z+1)(z-5) (answer)