College Algebra CLEP Prep Practice Exam

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What is the degree of -8xy3 + 14y2 - 12x2 + 28?

  1. 2

  2. 3

  3. 5

  4. 4

The correct answer is: 4

The degree of a polynomial is the highest degree of its terms. In this polynomial, the term with the highest degree is -8xy^3 which has a degree of 4 since it is raised to the fourth power. The other terms, 14y^2 and -12x^2, have degrees of 2 since they are raised to the second power. Therefore, the degree of the entire polynomial is 4. Although the other options may be the degrees of some of the terms in the polynomial, they are not the overall degree of the polynomial itself. Therefore, they are incorrect choices.

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