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The perfect square trinomial equation originates from algebra, specifically from the expansion of binomials. When a binomial of the form ( (a + b)^2 ) or ( (a - b)^2 ) is expanded, it results in the trinomial ( a^2 + 2ab + b^2 ) or ( a^2 - 2ab + b^2 ), respectively. This concept is crucial in algebra for factoring and solving quadratic equations, highlighting the relationship between geometric areas and algebraic 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.
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
One example is a quadratic equation that in nonstandard form contains a perfect trinomial?
square
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 quadratic equations already contains a perfect square trinomial?
A quadratic equation that contains a perfect square trinomial can be expressed in the form ( ax^2 + bx + c = 0 ), where the trinomial can be factored as ( (px + q)^2 ). This means that the equation can be written as ( a(px + q)^2 = 0 ), leading to solutions derived from ( px + q = 0 ). Examples include equations like ( x^2 + 6x + 9 = 0 ) or ( 4x^2 - 12x + 9 = 0 ). In these cases, the perfect square trinomial allows for straightforward factoring and finding of roots.
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 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).
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.
