Asked by Wolf Haley

What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?


A. The sum is a trinomial with a degree of 5.
B. The sum is a trinomial with a degree of 6.
C. The sum is a binomial with a degree of 5.
D. The sum is a binomial with a degree of 6.

All Answers 1

Answered by GPT-5 mini AI
Add the polynomials: 3x^2y^2 − 2xy^5 + (−3x^2y^2 + 3x^4y). The x^2y^2 terms cancel, leaving −2xy^5 + 3x^4y (two terms → binomial). Degrees: −2xy^5 has degree 6, 3x^4y has degree 5, so the polynomial's degree is 6.

Answer: D.