# Polynomials

Learn how to manipulate polynomials in order to prove identities and find the zeros of those polynomials. Use this knowledge to solve polynomial equations and graph polynomial functions. Learn about symmetry of functions.

This course contains 13 segments:

**Binomial theorem**

Learn how to expand powers of binomial expressions (which are polynomial expressions with exactly two terms). This is done using the binomial theorem!

**Understanding the binomial theorem**

Now that you know how to use the binomial theorem in order to expand powers of binomial expressions, let's gain further insight into why this actually works!

**Advanced polynomial factorization methods**

Learn more ways to factor polynomials with degree higher than 2.

**Proving polynomial identities**

Practice proving polynomial identities, using all the factorization and expansion methods you know.

**Polynomial identities with complex numbers**

Prove more polynomial identities, this time including complex numbers!

**Quadratic equations with complex numbers**

Remember all these quadratic equations with "no real solution"? Well, it turns out those equations do have a solution, it's just a complex number! Solve a bunch of those here.

**Fundamental theorem of Algebra**

You may already have noticed that quadratic equations always have a solution when including complex number solutions. It turns out this is true for any polynomial equation, of any degree! Learn about this and more, right here.

**Finding zeros of polynomials**

Use all the knowledge you have about polynomials to find their zeros (which are the input values that make the polynomial equal to zero).

**Zeros of polynomials and their graphs**

Learn how to use the zeros of polynomials to draw a pretty good sketch of their graphs.

**End behavior of polynomial functions**

Learn about the end behavior of polynomial functions. End behavior is the way the function behaves as the input values grow infinitely positive or infinitely negative.

**Graphs of polynomials**

Combine your knowledge about the zeros and the end behavior of a polynomial in order to sketch its graph.

**Introduction to symmetry of functions**

You may already be familiar with types of symmetries of geometrical shapes. Learn how functions can be symmetrical too!

**Symmetry of polynomial functions**

Learn how to determine the symmetry of a polynomial function.

## Get a Reminder

Rating | Not enough ratings |
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Length | 13 segments |

Starts | On Demand (Start anytime) |

Cost | Free |

From | Khan Academy |

Download Videos | On all desktop and mobile devices |

Language | English |

Subjects | Mathematics |

Tags | Math |

## Get a Reminder

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Rating | Not enough ratings |
---|---|

Length | 13 segments |

Starts | On Demand (Start anytime) |

Cost | Free |

From | Khan Academy |

Download Videos | On all desktop and mobile devices |

Language | English |

Subjects | Mathematics |

Tags | Math |

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