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# Unit 5: Polynomial

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

A ______ is a monomial or the sums of monomials. | polynomial |

if a polynomial P(x) of degree n>1 is divided by (x-a), where a is a constant, then the remainder is P(a) | Remainder Theorem |

number pairs of the form a+√b and a-√b are ________. | Conjugates |

Let a and b be rational numbers and let √b be an irrational number. If a+√b is a root of a polynomial equation with rational coefficients, then the conjugate a-√b also is a root. | Irrational Root Theorem |

___________ ____________ is a patteren for finding the coefficients of the terms of a binomial expansion. | Pascal's triangle |

The __________ of a zero of a polynomial function is the number of times the related linear factor is repeated in the factored form of the polynomial. | Multiplicity |

If p/q is in simplest form and is a rational root of the polynomial equation anxn+an-1xn-1+a1x+a0=0 with intefer coefficeients, then p must be a factor of a0 and q must be a factor of an. | Rational Root Theorem |

Th complex numbers a+bi and a-bi are _______ _________. | Complex Conjugate |

If the imaginary number a+bi is a root of a polynomial equation with real coeffients, then the conjugate a-bi also is a root. | Imaginary Root Theorem |

Created by:
malloryl93