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.
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No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.
It depends on whether you take the positive square root of 4 (YES) or the negative square root of 4 (No).
No. A monomial is a polynomial with just one term, so that the power must be only a positive integer.
A value of the variable that makes the polynomial equal to zero (apex)
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