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You can easily identify it.

  • The first and last term are perfect squares.

Example: X2 + 2xy + y2

  • The first and last term are Positive.

* * * * *

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

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Q: How can a trinomial be recognized as a perfect square?
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How can you tell if a trinomial is a perfect square?

A trinomial is perfect square if it can be factored into the form


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