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# Chapter 7 Math

### Chapter Seven Math

TermDefinition
monomial a number, a variable, or a product of a number and one or more variables with whole number exponents
degree of a monomial the sum of the exponents of the variables in a monomial
polynomial a monomial or a sum of monomials; each monomial is called a term of the polynomial
binomial a polynomial with two terms
trinomial a polynomial with three terms
degree of a polynomial the greatest degree of the terms of a polynomial
FOIL method a shortcut for multiplying two binomials
factored form a polynomial is in factored form when it is written as a product of factors
zero-product property if the product of two real numbers is 0, then at least one of the numbers is 0
roots the solutions of a polynomial equation
factoring by grouping to factor polynomials with four terms, group the terms into pairs, factor the GCF out of each pair for the terms, and look for a common binomial factor
prime polynomial a polynomial that cannot be factored as a product of polynomials with integer coefficients
factored completely a factorable polynomial with integer coefficients is said to be factored completely when no more factors can be found and it is written as the product of prime factors