Q: The polynomial below is a perfect square trinomial of the form A2 -2ab plus b2 9x2-36x plus 16 True or False?

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What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?

64

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

16 does that.

64

-12

144

(b/2)^2= 64

-26

TrUE

True

48

No.

A perfect square is a rational number that is equal to the square of another rational number; 9 is a perfect square because it is a rational number that is the square of 3, another rational number.A polynomial that is the square of another polynomial is also a perfect square; x2 - 8x + 16 is a perfect square because it is the square of the polynomial x - 4.

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

It can be factored as the SQUARE OF A BINOMIAL

There are infinitely many possible answers: c = Â±4x + 33

It is a trinomial of the form x2 + 2xy + y2 where x and y are integers because:it is the square of (x + y) andit is a trinomial.And some clever person decided that it might make sense to use the phrase "perfect square tronimial" to describe something which is a perfect square and also a trinomial.

12

No, it isn't. It would be, if that "36" in the middle were "24" instead.

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

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

Write it in the form ax2 + bx + c. It is a perfect square if b2 = 4ac

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

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