What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
the sum is a trinomial with a degree of 5.
the sum is a trinomial with a degree of 6.
the sum is a binomial with a degree of 5.
the sum is a binomial with a degree of 6.

The two given polynomials are:

and 

We have to find the sum of these two polynomials.

Adding them together we get:



From the above expression we can see there are two terms in the simplified sum. A polynomial having two terms is said to be Binomial. 

The degree of the polynomial in more than one variables is the highest sum of exponents of a term. The sum of exponents of first term is 5 and the sum of exponents of second term is 6. This means the degree of simplified sum is 6.

Therefore, the Fourth option gives the correct answer.
The sum is a binomial with a degree of 6.