College Algebra CLEP Prep Practice Exam

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What is the degree of the polynomial 3xy^3 - x^2y + 4xy?

  1. 2

  2. 3

  3. 4

  4. 5

The correct answer is: 3

This polynomial has three terms with different degrees 3xy^3 which has a degree of 4, -x^2y which has a degree of 3, and 4xy which has a degree of 2. The degree of a polynomial is determined by the highest degree of any one term. In this case, the highest degree is 4, making the degree of the polynomial 4. Therefore, option B is the correct answer. Option A has the incorrect degree as it only includes the highest degree of one term, option C has a degree that is too high as it is the sum of all three terms, and option D is also incorrect as it does not take into account the x term.

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