Question 896742
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)