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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.

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โˆ™ 2013-09-22 19:12:31
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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

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

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


Are all trinomial are perfect square?

No.


What can a perfect square trinomial can be factored as?

It can be factored as the SQUARE OF A BINOMIAL


When do you say that a trinomial is a perfect square?

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


How can a trinomial be recognized as a perfect square?

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


What is a perfect trianomial?

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


Which of the following constants can be added to x2 - 10x to form a perfect square trinomial?

12


How will you determine if it is a perfect square trinomial?

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


A definition of a perfect square trinomial?

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.


Is this trinomial a trinomial square 49y2 - 35y plus 6?

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


What is the square root of a perfect square?

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.


What is a perfect square trinomial and how is it factored?

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

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