An element of a set whose square root can be expressed perfectly as a member of the same set.

With the set of integers, perfect squares are all integers squared, i.e. { 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 ...}

With polynomials, a perfect square is a polynomial expression whose square root can be perfectly expressed as another polynomial. In the case of trinomials, perfect squares are expressed in the form of x2 + 2ax + a2

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