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

โˆ™ 2013-09-22 19:12:31
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

Algebra

20 cards

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

โžก๏ธ
See all cards
3.71
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
346 Reviews

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.


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


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.


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

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


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 25x2 70x plus 49 a perfect square trinomial?

Yes.


49x2 - 56x plus 16 is a perfect square trinomial?

True


Is x2 plus 32x plus 64 a perfect-square trinomial.?

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?

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


Is 4x2 plus 24x plus 18 a perfect square trinomial?

false!


What makes the polynomial a perfect square trinomial 4x2-32x plus?

64


How do you complete the square to make a binomial a perfect-square trinomial?

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.


What is perfect square trinomials why?

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.


One example is a quadratic equation that in nonstandard form contains a perfect trinomial?

square


What are the examples of perfect square trinomial?

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


What are the 5 kinds of factoring?

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


Is 9x2-36x 16 a perfect square trinomial?

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


Identify Perfect square trinomial?

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