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5: Polynomial Functions

  • Page ID
    19883
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    • 5.1: Functions
      A relation is a function if and only if each object in the domain is paired with exactly one object in the range.
    • 5.2: Polynomials
      A polynomial is a many-termed mathematical expression, with terms separated by plus or minus signs. The coefficients of a polynomial are the coefficients of its terms.
    • 5.3: Applications of Polynomials
      In this section we investigate real-world applications of polynomial functions.
    • 5.4: Adding and Subtracting Polynomials
      In this section we concentrate on adding and subtracting polynomial expressions, based on earlier work combining like terms in Ascending and Descending Powers.
    • 5.5: Laws of Exponents
      In the exponential expression aⁿ, the number a is called the base, while the number n is called the exponent.
    • 5.6: Multiplying Polynomials
      In this section we will find the products of polynomial expressions and functions. We start with the product of two monomials, then graduate to the product of a monomial and polynomial, and complete the study by finding the product of any two polynomials.
    • 5.7: Special Products
      This section is dedicated to explaining a number of important shortcuts for multiplying binomials. These are extremely important patterns that will produce the same products computed in previous sections. It is essential that readers practice until they become proficient using each of the patterns presented in this section.
    • 5.E: Polynomial Functions (Exercises)


    This page titled 5: Polynomial Functions is shared under a CC BY-NC-ND 3.0 license and was authored, remixed, and/or curated by David Arnold via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.