14
QuizMultiple Choice

Operating with Polynomials — Test

Question 14 • Mathematics III

The degree of the polynomial 10 x squared plus 2 x to the m th power y minus 4 y is 3 What is the value of m ?

Answer
A
2
B
3
C
4
D
1

Explanation

The term 2x^m y has total degree m + 1, since the exponents of x and y are added. The other terms, 10x² and −4y, have degrees 2 and 1. For the polynomial’s degree to be 3, m + 1 must equal 3, so m = 2. The correct choice is 2.

AI-written and checked against the verified answer.

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