SOLUTION: Can anyone give me some help with this? I need the steps and solution: Factor completely -3t³ + 3t² - 6t

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Question 43871: Can anyone give me some help with this? I need the steps and solution:

Factor completely


-3t³ + 3t² - 6t

Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely
-3t³ + 3t² - 6t
=-3t(t^2-t+2)
=-3t(t-2)(t+1)
Cheers,
Stan H.


Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
-3t%5E3%2B3t%5E2-6t First look for a factor that is common to each term. It looks like -3t is a common factor so factor this out.
-3t%28t%5E2-t%2B2%29 Now see if the factor inside the parentheses is factorable.
Assume the factors will be:%28t%2Ba%29%28t%2Bb%29
Can you find a & b such that:
a*b = 2 and a + b = -1
The factors of 2 are:
(1)(2) or
(-1)(-2)
Neither of these pairs will add up to -1.
So I would conclude that you cannot factor the expression any further than:
-3t%5E3%2B3t%5E2-6t+=+-3t%28t%5E2-t%2B2%29