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Division of Polynomial Functions

2.1 Polynomial Function Introduction and Algebraic Operations

Polynomial Functions Basics

  • A polynomial function is a function that can be written in the form

y=a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots+a_{1} x+a_{0}

where n \in N \cup\{0\} (as in non-negative whole numbers) and a_{0},\ a_{1},\ \ldots,\ a_{n} \in R with a_{n} \neq 0.

  • The number 0 is called the zero polynomial.
  • The leading term, a_nx^n, of a polynomial is the term of highest index among those terms with a non-zero coefficient.
  • The degree of a polynomial is the index of the leading term, as in, n.
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