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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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10y ago
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9y ago

The first and last term is a perfect square; for example, (x+6y)^2 = x^2 + 12xy + 36y^2

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Q: What are the attributes of a polynomial expression that is a perfect square?
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What are facts about perfect square?

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.


2 x - 1 2 square?

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.


What value of b makes the polynomial below a perfect square?

None does, since there is no polynomial below.


What is the discriminant polynomial 9x2-18x 9?

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?

What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?


How can you tell if a polynomial is a perfect square?

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.


Is a polynomial with square root a polynomial?

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.


What makes the polynomial a perfect square x2 plus 22x plus?

121


What makes the polynomial a perfect square trinomial 4x2-32x plus?

64


Which One side of a square is represented by 5y. Which polynomial expression BEST represents the area of the square?

Area of square: 25y^2


What value of c makes the polynomial a perfect square x2 5x c?

6.25


What number must be added to the polynomial to complete the perfect square x2-24x?

144