SOLUTION: what is 9t^2 +12t + 4 factored completely ?

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Question 896742: what is 9t^2 +12t + 4 factored completely ?

Answer by harpazo(655) About Me  (Show Source):
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what is 9t^2 +12t + 4 factored completely ?

I will use the Grouping Method.

9 x 4 = 36
Ask yourself: What two numbers when multiplied together yield 36 but when added will produce a sum of 12?

What about 6 x 6?

Yes, we found our two factors.

We now form a large polynomial.

9t^2 + 6t + 6t + 4

Are you following me so far?

We now make our two groups.
Group 1 is 9t^2 + 6t.

We factor this first group.
3t(3t + 2).

Our second group is 6t + 4.

2(3t + 2).

Answer: (3t + 2)(3t + 2)