*f*(

*x*) =

*a*,

_{n}x^{n}+ a_{n-1}x^{n-1}+ ... + a_{1}x + a_{0}where

*n*is the

**degree**of the polynomials and it must be positive integer,

*a*is the

_{n}**leading coefficient**of the polynomials and

*a*are coefficients.

_{i}Table below shows some examples of polynomials:

Function | Degree | Leading Coefficient | Type of Polynomial |
---|---|---|---|

4 | 0 | 4 | Constant |

5x + 1 | 1 | 5 | Linear |

25 - x^{2} | 2 | -1 | Quadratic |

(x-1)^{2}(1-2x) | 3 | -2 | Cubic |

(x-1)^{2}(3x-1)^{2} | 4 | 9 | Quartic |

The domain for polynomial is always (-∞,∞); while the range is also (-∞,∞) for odd degree but for even degree we have to find it according to the function given.

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