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


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What number must be added to the polynomial to complete the square x2 - 20x?

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?

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


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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.


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