SOLUTION: Determine if 18x^2 - 54x + 45 is factorable, if so factor it.

Question 114950: Determine if 18x^2 - 54x + 45 is factorable, if so factor it.
Answer by jgr45(31) (Show Source): You can put this solution on YOUR website!
Determine if 18 - 54x + 45 is factorable, if so factor it.

Begin by factoring out a 9, which can be further factored into 3x3:
(3)(3)(2 - 6x + 5)
Now see if the polynomial can be factored further-we need factors of 5 that sum to -6. We see that one factor will start with 2x and the other will start with x. 5 is a prime number, so the only factors of 5 possible are 5 and 1, and because 5 is positive we know that the factors have to both have the same sign, namely negative, as indicated by the -6x. Unfortunately there is no combination that will sum to -6, so it can't be factored further.
So therefore, the answer is (3)(3)(2-6x+5) .
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