How can a trinomial be recognized as a perfect square?

Answer 1

You can easily identify it.

• The first and last term are perfect squares.

Example: X2 + 2xy + y2

• The first and last term are Positive.

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That is rubbish.

The first and last terms of x2 + x + 1 are perfect squares but the trinomial is not. In fact, it has no real factors.

If the trinomial is written in the form ax2 + bx + c , then it is a perfect square if b2 = 4ac