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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.

Q: Why is the last term of a perfect square trinomial always positive?

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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).* * * * *A simpler answer is: write the trinomial in the form ax2 + bx + c. Then, if b2 = 4ac, it is a perfect square.

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

30 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.

500 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.

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

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

No.

You can easily identify it.The first and last term are perfect squares.Example: X2 + 2xy + y2The first and last term are Positive.* * * * *That is rubbish.The first and last terms of x2 + x + 1 are perfect squares but the trinomial is not. In fact, it has no real factors.If the trinomial is written in the form ax2 + bx + c , then it is a perfect square if b2 = 4ac

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 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.

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+ ?