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# ExponentsPolynomials

### Blitzer Introductory Algebra for College Students 5th ed Chapter 6

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

How do you subtract polynomials? | To subtract two polynomials, add the first polymonial and the opposite of the polynomial being subtracted. |

What is a polynomial? | A polynomial is a single term or the sum of two or more terms containing variables with whole-number exponents. |

What is the standard form of a polynomial? | It is customary to write the terms in the order of descending powers of the variables. |

How do you multiply fractions? | 1. Multiply the top numbers (the numerators). 2. Multiply the bottom numbers (the denominators). 3. Simplify the fraction if needed. |

What is the degree of a polymonial? | The degree of a polynomial is the greatest degree of all terms of the polymonial. |

How do you add polynomials? | Polynomials are added by combining like terms. |

Multiplying polynomials: What is the product rule? | The Product Rule says: When multiplying exponential expressions with the same base, add the exponents. Use the sum as the exponent of the common base. |

Multiplying polynomials: What is the power rule? | The Power Rule says: When an exponential expression is raised to a power, multiply the exponents. Place the product of the exponents on the base and remove the parentheses. |

Multiplying polynomials: What is the products-to-powers rule? | The Products-to-Powers Rule says: When a product is raised to a power, raise each factor to the power. |

How do you multiply a monomial and a polynomial that is not a monomial? | To multiply a monomial and a polynomial, use the distributive property to multiply each term of the polynomial by the monomial. |

How do you multiply polynomials when neither is a monomial? | Multiply each term of one polynomial by each term of the other polynomial. Then combine like terms. |

How do you find the product of two binomials?Name two methods. | 1. Double distribute.2. FOIL |

What is the double distribute method of finding the product of two binomials? | Simply distribute each term in the first binomial through the second binomial. This method always works. |

What is the FOIL method of finding the product of two binomials? | F = the product of the FIRST terms in each binomial, O = the product of the OUTSIDE terms, I = the product of the INSIDE terms, and L = the product of the LAST or second terms in each binomial. |

What is the shortcut to finding the product of the sum and difference of two identical terms? | The product of the sum and the difference of the same two terms is the square of the first term minus the square of the second term. |

What is the square of a binomial sum? | The square of a binomial sum is the first term squared PLUS 2 times the product of the terms plus the last term squared. |

What is the square of a binomial difference? | The square of a binomial difference is the first term ssquared MINUS 2 times the product of the terms plus the last term squared. |

What is the FOIL formula? | (A+B)(C+D) = AC + AD + BC + BD |

What is the "Sum and Difference of Two Terms" formula? | (A+B)(A-B) = A squared - B squared |

What are the formulas for the "Square of a Binomial"? | SUM(A + B)squared = A squared + 2AB + B squaredDIFFERENCE (A + B) squared = A squared - 2AB + B squared |

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