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The binomial usually has an x2 term and an x term, so we complete the square by adding a constant term. If the coefficient of x2 is not 1, we divide the binomial by that coefficient first (we can multiply the trinomial by it later). Then we divide the coefficient of x by 2 and square that. That is the constant that we need to add to get the perfect square trinomial. Then just multiply that trinomial by the original coefficient of x2.

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Q: How do you complete the square to make a binomial a perfect-square trinomial?
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Related questions

What can a perfect square trinomial can be factored as?

It can be factored as the SQUARE OF A BINOMIAL

What must be added to the binomial m2-12m to make it a perfect square trinomial?


What is similar about a perfect square trinomial and a difference of two squares?

Each has two binomial factors.

What is the meaning of factor of perfect square trinomial?

A factor of a perfect square trinomial is eithera number that is a factor of each term of the trinomial,a binomial that is a factor of the trinomial, ora product of the above two.For example, consider 4x2 + 8x + 4It has the factors2 or 4,(x + 1) or2x+2 = 2*(x+1) or 4x+4 = 4*(x+1)

Is the perfect square trinomial a product of the square of a binomial?

Yes. With w and z being any two numbers or variables: Take (w + z)2 = (w + z)(w + z) = ww + wz + zw + zz = w2 + 2wz + z2, which is the perfect square trinomial.

Why is the last term of a perfect square trinomial always positive?

This is related to the fact that the square of both a positive and a negative number is always positive. The last term is simply the square of the second term, in the original binomial.

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

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

Do you always multiply a perfect square by 3?

No, not unless you need to know what three times thevalue of some perfectsquare is.

Is the square of a binomial ever a binomial?


What is the trinomial for x square plus 2x?

Complete the square. X^2 + 2X halve the linear term ( 2 ), square it and add to polynomial X^2 + 2X + 1

Are all trinomial are perfect square?


Example of square of a trinomial?

If you want to know how to square a trinomial, you should first know the basic. (a+b+c)^2=? you have to square the first three terms then multiply 2 to the last three terms. All you have to do is to remember that a square of trinomial has 6 terms in the answer