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

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

No.

It can be factored as the SQUARE OF A BINOMIAL

A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.

You can easily identify it.The first and last term are perfect squares.Example: X2 + 2xy + y2The first and last term are Positive.* * * * *That is rubbish.The first and last terms of x2 + x + 1 are perfect squares but the trinomial is not. In fact, it has no real factors.If the trinomial is written in the form ax2 + bx + c , then it is a perfect square if b2 = 4ac

perfect trinomial square?? it has the form: a2 + 2ab + b2

12

Write it in the form ax2 + bx + c. It is a perfect square if b2 = 4ac

There are two square roots of a perfect square: a positive number and the same number as a negative number. The square root of a perfect square will always be an integer.

Factors are (7y - 3)(7y - 2) so it's not a perfect square.

A perfect square trinomial is looking for compatible factors that would fit in the last term when multiplied and in the second term if added/subtracted (considering the signs of each polynomials).* * * * *A simpler answer is: write the trinomial in the form ax2 + bx + c. Then, if b2 = 4ac, it is a perfect square.

A trinomial of the form ax2 + bx + c is a perfect square if (and only if) b2-4ac = 0 and, in that case, it is factored into a*(x + b/2a)2

Yes.

True

The given quadratic expression can not be factored as a perfect square.

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

false!

64

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.

It is a trinomial of the form x2 + 2xy + y2 where x and y are integers because:it is the square of (x + y) andit is a trinomial.And some clever person decided that it might make sense to use the phrase "perfect square tronimial" to describe something which is a perfect square and also a trinomial.

square

a2x2 + 2abx + b2 where a and b are any integers.

the 5 kinds of factoring are common monomial factor, difference of two cubes, quadratic trinomial, perfect square trinomial,and difference of two square.

If you mean: 9x2-36x+16 then it is not a perfect square because its discriminant is greater than zero

1st term is a perfect square 3rd term is a perfect square square root of 1st and 3rd term multiplied together then multiplied again by 2 to get the middle term