The first term must have an x value raised to an even root, such as x^2 or x^4. The middle term (if a trinomial) must be able to be made by adding together the factors of the coefficients of first and last terms. For example, x^2 +4x +4 can be factored into (x+2) x (x+2), or (x+2)^2
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The first and last term is a perfect square; for example, (x+6y)^2 = x^2 + 12xy + 36y^2
The discriminant polynomial is always [ b2 - 4ac ]. In any given expression, it's a number. In this expression, the number is zero, indicating that the expression is a square.
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
It is a polynomial if the square root is in a coefficient but not if it is applied to the variable. A polynomial can have only integer powers of the variable. Thus: sqrt(2)*x3 + 4*x + 3 is a polynomial expression but 2*x3 + 4*sqrt(x) + 3 is not.
2020^2 = 400400 is a perfect square.......perfect square  noun Mathematics .1.a rational number that is equal to the square of another rational number.2.a polynomial that is the square of another polynomial.Origin:1935-40
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