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Example of Classifying Polynomials and Finding Their Degrees
To determine the type and degree of a polynomial, count its terms to classify it, find the degree of each term, and identify the highest degree among the terms. For example:
- : This has terms, making it a trinomial. The degrees of its terms are , , and . The highest degree is , so the degree of the polynomial is .
- : This has term, making it a monomial. The degree of its single term is , so the degree of the polynomial is .
- : This has terms, making it a polynomial (with no special name). The degrees of its terms are , , , , and . The highest degree is , so the degree of the polynomial is .
- : This has terms, making it a binomial. The degrees of its terms are and . The highest degree is , so the degree of the polynomial is .
- : This has term, making it a monomial. As a constant, the degree of its single term is , so the degree of the polynomial is .
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Intermediate Algebra @ OpenStax
Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax
Algebra
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Example of Classifying Polynomials and Finding Their Degrees
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