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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).
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A simpler answer is: write the trinomial in the form ax2 + bx + c. Then, if b2 = 4ac, it is a perfect square.
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What are the examples of perfect square trinomial?
a2x2 + 2abx + b2 where a and b are any integers.
What is the definition of perfect square?
Any integer multiplied by itself results in a perfect square.
What is the perfect square trinomial for 4x2-42x plus 110?
4x2-42x+110 = (2x-10)(2x-11) when factored
Why is the last term of a perfect square trinomial always positive?
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.
What is a trinomial square?
A trinomial of the form ax2 + bx + c , where a is a square, c is a square and b = 2(sq root a)(sq root b). b can be a negative also. ex: x2 + 6x + 9 , note a = 1 or 16x2 - 40x + 25
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.
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
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+ ?
Is x2 plus 32x plus 64 a perfect-square trinomial.?
The given quadratic expression can not be factored as a perfect square.
49x2 - 56x plus 16 is a perfect square trinomial?
True
