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A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It takes the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2), where (a) and (b) are real numbers. The resulting trinomial can be factored as ((a + b)^2) or ((a - b)^2). This characteristic makes perfect square trinomials particularly useful in algebra for solving equations and simplifying expressions.
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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 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.
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 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 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.
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.
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?
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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
What is trinomial perfect?
A trinomial is considered perfect if it can be expressed as the square of a binomial. For example, the trinomial (x^2 + 6x + 9) is a perfect square because it can be factored into ((x + 3)^2). Perfect trinomials typically take the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^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
