📈college algebra review

key term - Polynomial function

Definition

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. It can be expressed in the form $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0$ where $a_i$ are constants and $n$ is a non-negative integer.

5 Must Know Facts For Your Next Test

  1. A polynomial function has the general form $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0$.
  2. The degree of the polynomial is the highest power of the variable in the function.
  3. Polynomial functions are continuous and smooth, meaning they have no breaks, holes, or sharp corners.
  4. The end behavior of a polynomial function depends on the leading term; if $a_n > 0$ and $n$ is even, both ends rise to infinity.
  5. The roots or zeros of a polynomial function are the values of $x$ for which $f(x) = 0$, and these can be real or complex numbers.

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