Use 3 or more sentences to describe how you identify whether or not a polynomial is a difference of 2 squares?

Answer 1

If the polynomial is x^4 - 16, then its a difference of 2 squares. Just identify 2 squares.

Sometimes its not that easy to notice this fact, but you have to pay attention.

Ana

Answer 2

If the polynomial is a binomial, then check to see if the first term is a perfect square. If it is check to see if the second term is also a perfect square. If it is check to see that there is a minus sign between the two terms.
If the answer is yes to all of these conditions ,then the polynomial is the difference of two squares.

If the polynomial is a trinomial, try completing the square and see if the term left over is a perfect square. If it is and is preceded by a minus sign, then the trinomial will be the difference of two squares. An example would be (x-5)^2 - 16, which is a binomial, but when is expanded and simplified it is a trinomial.

Answer 3

If each term is a square number (coefficient of x is a square number, and the x term is to an even power); and iff one of the terms is negative, while the other is positive.