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Q: What value in place of the question mark makes the polynomial below a perfect square trinomial x2 plus 24x plus questionmark?

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Complete the square is the process of creating a "perfect square" polynomial. We call (x + a)^2 a perfect square, where a is a constant. Using simple distributivity of numbers, we get x^2 + 2ax + a^2 is a representation of a perfect square in simplified formed. so (x + a) ^2 = x^2 + 2ax + a^2. Given a degree polynomial in the form x^2 + nx, where m and n are constants, when we "complete the square", we are looking for values that will turn it into something like x^2 + 2ax + a^2. The entire idea is to find what "a" is. 2a is the coefficient for the degree one monomial "2ax" for what we want, also n is the coefficient for the degree one monomial "nx" for what we have. Then why don't we just say n = 2a for some a. To find a, it's obvious a = n/2. We have the degree 2 term (x^2), degree 1 term (nx = 2 . n/2 .x). We need the constant of a^2. a^2 = (n/2)^2 = n^2 / 4. In this case, n = 13.

The future perfect tense is will have given.

Present Perfect Continuous Tense:I/you/we/they have been coming.He/she/it has been coming.Past Perfect Continuous Tense:Had been coming.Future Perfect Continuous Tense:Will have been coming.

Related questions

48

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

64

64

-12

TrUE

True

-26

(b/2)^2= 64

A trinomial is perfect square if it can be factored into the form

No, it isn't. It would be, if that "36" in the middle were "24" instead.

There are infinitely many possible answers: c = Â±4x + 33