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 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
A trinomial is perfect square if it can be factored into the form
No.
No, the expression (x^2 - 10x - 25) is not a trinomial square. A trinomial square takes the form ((a - b)^2) or ((a + b)^2), which expands to (a^2 \pm 2ab + b^2). In this case, the last term (-25) does not match the necessary form for a perfect square trinomial, as it would need to be a positive square.
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
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
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 is considered perfect if it can be expressed as the square of a binomial. For example, the trinomial (x^2 + 6x + 9) is a perfect square because it can be factored into ((x + 3)^2). Perfect trinomials typically take the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2).
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.