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# Chapter 9 Algebra

### Solving Quadratic Equations

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

Quadratic Function | a nonlinear function that can be written in the standard form F(x) = ax² + bx + c where a ≠ 0 |

Completing the square | A method for solving quadratic equations; in this method, a constant c is added to the expression x² + bx so that x² + bx is a perfect square trinomial |

Quadratic Formula | The formula below that can be used to find the real solutions of the quadratic equation ax² + bx + c where a ≠ 0 and b² - 4ac ≥ 0 |

Discriminant | The expression b² - 4ac of the associated equation ax² + bx + c = 0; the expression under the radical sign, b² - 4a; used to determine the number of real solutions of a quadratic equation |

Roots | The solutions of a polynomial equation |

Square Root | If b² = a, then b is this of a. The radical sign, √, represents this |

Zero (of a function) | An x-value for which f(x) = 0; a zero is located at the x-int of the graph of the function |

Created by:
15juangra