SOLUTION: Factor t^2+4t+4

Question 1066952: Factor t^2+4t+4
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

There are different ways to factor it, but if
you use the quadratic formula, that will
tell you things about the function that
you wouldn't learn otherwise.

The +- in the formula tells you this is really
2 formulas in one. They are:

and

and are the roots
----------------------------------
Notice that if , then
there is only 1 root. It is called a double root
----------------------------------------
In this case:

So you know you have only 1 root
----------------------------------------
Filling in the rest of the formula:

That tells me the factors are:
repeated twice
so, it is factorized as:

Here's the plot. The double root, is where the
curve just touches the x-axis

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Recognize a perfect square trinomial whenever presented, especially for common ones.

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