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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.

Q: A definition of a perfect square trinomial?

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

Any integer multiplied by itself results in a perfect square.

4x2-42x+110 = (2x-10)(2x-11) when factored

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.

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

Related questions

A trinomial is perfect square if it can be factored into the form

No.

It can be factored as the SQUARE OF A BINOMIAL

A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.

perfect trinomial square?? it has the form: a2 + 2ab + b2

12

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

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

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?x2 + 12x+ ?

The given quadratic expression can not be factored as a perfect square.

Yes.