2
QuizMultiple Choice

Adding and Subtracting Polynomials

Question 2 • FL-1200700-Mathematics for College Algebra MIS

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

Answer
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.

Explanation

Add the polynomials and combine like terms: 3x²y² and −3x²y² cancel, leaving −2xy⁵ + 3x⁴y. This is a binomial, and its highest term degree is 6 because the term −2xy⁵ has degree 1 + 5 = 6; therefore, the sum is a binomial with a degree of 6.

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