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# solve polynomials

### using quadratic techniques to solve Polynomial equations

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

What is the definition of Quadratic Form | For any numbers a, b, c, except a=0, an equation that can be written as a[f(x)^2] + b[f(x) + c = 0, where f(x) is some expression in x, is in quadratic form |

solve x^4 + 3x^3 - 18x^2 = 0 | 0, -6, 3 |

Solve x^4 - 7x^2 + 12 = 0 | 2, -2, sqroot(3), - sqroot(3) |

write the equation in quadratic form if possible x^8 + 10x^4 = -13.2 | (x^4)^2 + 10(x^4) + 13.2 = 0 |

write the equation in quadratic form if possible 11x^4 + 3x = -8 | impossible |

write the equation in quadratic form if possible 84n^4 - 62n^2 = 0 | 84(n^2)^2 - 62(n^2) = 0 |

solve the equation x^3 - 3x^2 - 10x = 0 | -2, 0, 5 |

solve the equation n^3 + 12n^2 + 32n = 0 | -8, -4, 0 |

Solve the equation y^(2/3) -9y^(1/3) + 20 = 0 | 125, 64 |

Solve the equation 6.25m^3 - 12.25m = 0 | 0, 1.4, -1.4 |

Write an expression for a polynomial that has roots -3, 0, and 2 | x^3 + x^2 - 6x = 0 |

Solve the equation m^5 + 1.4m^4 = 15.04m^3 | 3.2, -4.7, 0 |

find the value of c such that the points at (7,2) and (3, c) are 5 units apart | 5, or -1 |

Solve the equation y^(1/3) = 7.5 | 421.875 |

The volume of a milk carton is 200 cubic inches. The base of the carton is square, and the height is 3 inches more than the length of the base. What are the dimensions of the carton? | 5in by 5in by 8in. |

Created by:
joeybada