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# chapter 5

### math 098

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

Quadratic Equation | A polynomial with a degree of 2 |

Exponents | It is used to write repeated factors in a more compact form. |

Tinomial | A polynomial with three terms |

Factoring | The process of writing a polynomial as a product. |

Zero Exponent Rule | Anything with a zero exponent equals 1. |

Power Rule | If the exponent is raised to a power, then the exponents are multiplied. |

Difference of Two Squares | A binomial where both terms are perfect squares and the operation is subtraction. |

Pythagorean Theorem | It is represented by the sum of the square of the legs equal to the square of the hypotenuse. |

Scientific Notation | A positive number written in the form of a number at least one and less than 10 with the decimal after the first nonzero number. multiplied by ten to some power. 400,000= 4*10^5 .00041=4.1*10^4 |

Monimial | A polynomial with one term |

Degree of the Term | It is the sum of the exponents on the variables contained in the term. |

Standard Form | Move the decimal point in the number the same number of places as the exponent on 10. If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. |

Quotient Rule | When dividing with like bases, the exponents are subtracted. |

Greatest Common Factor | It is the common factor of each term of the expression that has the greatest coefficient and the greatest exponent |

Sum of Cubes | It is the binomial where both terms can be written as cubes and the operation is addition |

Zero Factor Property | If the product of two or more factors is zero, then one of the factors must be zero |

Polynomial | It is the finite sum of tees in which all variables are raised to nonnegative integer powers and no variables appear in any denominator. |

Binomial | It is a polynomial with two terms |

Degree of the Polynomial | It is the largest degree of all its terms. |

Product Rule | When multiplying with like bases, the exponents are added together. |

Negative Exponent Rule | If a variable has a negative exponent, it is moved to the other position(numerator/denominator) and loses the negative sign. |

Perfect Square Trinomial | A binomial where both terms are perfect squares and the operation is subtraction. |

Difference of Cubes | it is the binomial where both terms can be written as cubes and the operation is subtraction. |

Square of a Binomial | It is a binomial multiplied by itself or a binomial with an exponent of 2. |