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# 20 Algebra 1 Vocab

### Mnemonic

Term | Definition |
---|---|

polynomial | a monomial or sum of monomials |

binomial | the sum of two monomials |

trinomial | the sum of three monomials |

degree of a monomial | the sum of the exponents of all its variables |

degree of a polynomial | the greatest degree of any term in the polynomial |

standard form of a polynomial | a polynomial that is written with the terms in order from greatest degree to least degree |

leading coefficient | the coefficient of the term with the highest degree in a polynomial |

FOIL Method | to multiply two binomials, find the sum of the products of the First terms, Outer terms, Inner terms, and Last terms, and Last terms |

quadratic expression | an expression in one variable with a degree of 2 written in the form a times x squared + b times x + c |

factoring | to express a polynomial as the product of monomials and polynomials |

factoring by grouping | the use of the Distributive Property to factor some polynomials having four or more terms |

Zero Product Property | If the product of two factors is 0, then at least one of the factors must be 0. |

quadratic equation | an equation of the form a times x squared + b times x + c = 0, where a is not equal to 0 |

prime polynomial | a polynomial that cannot be written as a product of two polynomials with integral coefficients |

difference of two squares | two perfect squares separated by a subtraction sign |

perfect square trinomials | a trinomial that is the square of a binomial |

exponential function | a function that can be described by an equation of the form y=a to the x power, where a>0 and a is not equal to 1 |

exponential growth | when an initial amount increases by the same percent over a given period of time |

exponential decay | when an initial amount decreases by the same percent over a given period of time |

compound interest | a special application of exponential growth |