answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why is the last term of a perfect square trinomial always positive?
Write your answer...
Submit
Still have questions?
magnify glass
imp
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.


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


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.


What can a perfect square trinomial can be factored as?

It can be factored as the SQUARE OF A BINOMIAL


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


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.


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


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

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


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


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+ ?