Is the following trinomial # x^2 + 18x + 81# a perfect square?

Answer 1

Since #x^2+18x+81 = (x+9)^2#

#x^2+18x+81# is considered a perfect (polynomial) square even though (if #x# is not an integer) its value might not be a perfect square.

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Answer 2

Nathan Axel

Yes, the trinomial (x^2 + 18x + 81) is a perfect square. It can be factored as ((x + 9)^2), where (x + 9) is squared to produce the original trinomial.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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