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# Alg2 Poly Functions

### Polynomial Functions Terms to Know

Term | Definition |
---|---|

Leading Coefficient | The coefficient of the first term of a polynomial in standard form. |

Constant or constant term | A term in a function or expression that does not contain a variable. |

Factor | A number or expression that divides into a number or expression evenly (remainder of zero) |

Standard Form of a Polynomial | When a polynomial is written so the terms are in order from greatest degree to least degree. |

Perfect Square | A number whose positive square root is a whole number. |

End Behavior | The trends in the y-values of a functions as the x-values approach positive and negative infinity. Where the graph is going up and down as the x-values go to positive and negative infinity. |

Monomial | A number or product of numbers and variables with whole-number exponents. |

Multiplicity | When a factor (x -r) appears more than once when a polynomial is factored it is said to have a multiplicity of the number of times it appears. |

Polynomial | A monomial or the sum or difference of monomials. |

Polynomial Function | A function made up of the sum or difference of monomials. |

Synthetic Division | A shorter method of dividing a polynomial by a binomial (x - a) using only the coefficients of the polynomial. |

Turning Point | A point on the graph that is a local maximum or minimum. It is where the graph will change directions (from increasing to decreasing or decreasing to increasing). |

Discriminant | b^2 - 4ac |