SOLUTION: Determine whether the following trinomial is a perfect square. x^2 + 4x + 4

Question 774872: Determine whether the following trinomial is a perfect square. x^2 + 4x + 4
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
A trinomial could be the square of a binomial

(In words, the square of a binomial is the square of one term, plus the square of the other, plus their double product,
If we find two terms that are perfect squares, they could be the and in the "formula" above, and we would know what the and expressions are.
If it so happens the other term is twice the product of the and we figured out before, then the trinomial is a perfect square.

In , we find that
is the square of , and
is the square of .
We calculate twice the product of and as
and it is equal to the other term.
So
It is a perfect square.
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