# Math 1A/1B. Pre-Calculus: Polynomials and Rational Functions - UCI

This open course provides the student with review of intermediate algebra, geometry, and trigonometry. It is designed for those want to be successful in an introductory college calculus course, but would like additional preparation.

Pre-Calculus by Dr. Sarah Eichhorn and Dr. Rachel Lehman is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.

License: Creative Commons CC-BY-SA

Terms of Use: ocw.uci.edu/info

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Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/courses/math_1a1b_pr....html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (creativecommons.org/licenses/by-sa/4.0/).

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## 1) Intro to Polynomial and Rational Functions## Pre-Calculus: Intro to Polynomial and Rational Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 2) Conjugate Zeros Theorem## Pre-Calculus: Conjugate Zeros Theorem Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 3) Factor Theorem## Pre-Calculus: Factor Theorem Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 4) Graphing a Rational Function## Pre-Calculus: Graphing a Rational Function Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 5) Graphing a Rational Function with Holes## Pre-Calculus: Graphing a Rational Function with Holes Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 6) Graphing a Rational Function with a Slant Asymptote## Pre-Calculus: Graphing a Rational Function with a Slant Asymptote Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 7) Graphs of Polynomial Functions## Pre-Calculus: Graphs of Polynomial Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 8) Polynomial Inequalities## Pre-Calculus: Polynomial Inequalities Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 9) Polynomial Long Division## Pre-Calculus: Polynomial Long Division Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 10) Properties of Polynomials## Pre-Calculus: Properties of Polynomials Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 11) Vertical and Horizontal Asymptotes of a Rational Function## Pre-Calculus: Vertical and Horizontal Asymptotes of a Rational Function Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 12) Rational Inequalities## Pre-Calculus: Rational Inequalities Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 13) Rational Zeros Theorem## Pre-Calculus: Rational Zeros Theorem Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 14) Remainder Theorem## Pre-Calculus: Remainder Theorem Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 15) Synthetic Division## Pre-Calculus: Synthetic Division Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 16) Finding Zeros of a Polynomial, Part 1## Pre-Calculus:Finding Zeros of a Polynomial -- Part 1 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 17) Finding Zeros of a Polynomial, Part 2## Pre-Calculus:Finding Zeros of a Polynomial -- Part 2 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

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