28
QuizMultiple Choice

Adding and Subtracting Polynomials — Unit test

Question 28 • FL-1200700-Mathematics for College Algebra MIS

Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?

Answer
A
It has 2 terms and a degree of 2.
B
It has 2 terms and a degree of 3.
C
It has 4 terms and a degree of 2.
D
It has 4 terms and a degree of 4.

Explanation

The like terms 3x²y² and −3x²y² cancel, leaving −5xy² + 2x². This has 2 terms. The term −5xy² has degree 1 + 2 = 3, while 2x² has degree 2, so the polynomial’s degree is 3. The true statement is “It has 2 terms and a degree of 3.”

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