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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
