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

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Adding 100 completes the square. { I wonder why you want to complete the square when the expression already factors as x(x-20) }.

6.25

No, 80 is a not perfect square.

Yes, a perfect square is a number that has an integer square root.

No, 3.6 is not a perfect square. A perfect square is defined as a number that has a whole number for a square root. In other words, there's no whole number that, when multiplied by itself, equals 3.6.

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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.

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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

49/4 or 12.25

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None does, since there is no polynomial below.

Adding 100 completes the square. { I wonder why you want to complete the square when the expression already factors as x(x-20) }.

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.

121

64

81. To complete the square of x^2 + 18x, you take half the coefficient of the x term (half of 18 is 9), and square that number (9 squared is 81). To confirm this works, you can now factor x^2 + 18x + 81 and see that it factors as (x+9)(x+9), or (x+9)^2, a perfect square.