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
64
A perfect square is a rational number that is equal to the square of another rational number; 9 is a perfect square because it is a rational number that is the square of 3, another rational number.A polynomial that is the square of another polynomial is also a perfect square; x2 - 8x + 16 is a perfect square because it is the square of the polynomial x - 4.
To square an expression, multiply it by itself. And to multiply a polynomial by a polynomial, multiply each part of one polynomial by each part of the other polynomial.
None does, since there is no polynomial below.
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+ ?
Let's take a quadratic polynomial. There are three terms in a quadratic polynomial. Example: X^2 + 8X + 16 = 0 To satisfy the criteria of a perfect square polynomial, the first and last term of the polynomial must be squares. The middle term must be either plus or minus two multiplied by the square root of the first term multiplied by the square root of the last term. If these three criteria are satisifed, the polynomial is a perfect square. Let us take the above quadratic. X^2 + 8X + 16 = X^2 + 2(4X) + 4^2 = (X+4)^2 As we can see, each criteria is satified and the polynomial does indeed form a perfect square.
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.
121
64
Area of square: 25y^2
6.25
144