# Polynomial

- An expression consisting of variables and coefficients
- Examples
- $x^2 - 4x + 7$
- $x^3 - 2xyz^2 - yz + 1$

- Examples
- Involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables

## Degrees

- The
**degree**of a polynomial $P(x)$ is the highest power of $x$ found in $P(x)$- $x^2 - 4x + 7$ has a degree of $2$

- There is no formula to give us solutions for quintic degree polynomials

Degree | Form | |
---|---|---|

Linear | 1 | $ax + b$ |

Quadratic | 2 | $ax^2 + bx + c$ |

Cubic | 3 | $ax^3 + bx^3 + cx + d$ |

Quartic | 4 | $ax^4 + bx^3 + cx^2 + dx + e$ |

Quintic | 5 | $ax^5 + bx^4 + cx^3 + dx^2 + ex + f$ |

6th degree | 6 | ... |

7th degree | 7 | ... |