SOLUTION: factor completely -3t+3t^2-6t

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Question 86478: factor completely
-3t+3t^2-6t
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

+-3t+%2B+3t%5E2+-+6t+

Here, we observe that there are two temrs which contain t and one term that contain t%5E2. So grouping like terms, we get:

3t%5E2+-+9t

Here 3t can be taken out as the common factor. Hence, this cna be factored as:

3t(t - 3)

NOTE: If the given quadratic is equated top zero then the value of t can be found out in the way as shown below.

3t^2 - 9t = 0

==> 3t(t - 3) = 0

==> 3t = 0 OR t - 3 = 0

==> t = 0 OR t = 3


Hence, the solution..

Regards