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# CH8 Alg 2 H vocab

### Varation and Polynomial Equations

Question | Answer |
---|---|

Direct variation | A linear function defined by a equation of the form y=mx (where m=/0) |

Inverse variation | A function defined by y=k/x where x=/0, k=/0. |

Joint variation | Quantities that vary directly as a product of 2 or more quantities; y=kxz |

**Division Algorithm for Dividing Polynomials | Dividend/divisor=Quotient + remainder/divisor |

Synthetic division | Alternate division method for dividing |

*remainder Theorem | P(x)=Q(x)*(x-c)+P(c). The remainder when P(x)/(x-c)=P(c) |

**Factor theorem | P(x) has x-r as a factor fi and only if r is a root of the equation P(x)=0 |

Depressed equation | Q(x)=0; where Q(x) is the quotient when P(x) is divided by one of its factors. Roots of depressed equation=roots of P(x)=0. |

**Conjugate theorem | If a polynomial equation with REAL coefficients has a+bi, then a-bi is also a root. |

**Varitation in sign | A change in sign (+ or -) from the term of a polynomial to the next. Missing terms are ignored. |

**Descrates rule of signs | basically know the +/-/imag roots table; imag numbers always are in pairs |

How can you tell the degree of an equation based off of its graph? | By how many times the line hits the x-axis |

Created by:
allyson.lee