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# Math Ch.7 Vocab

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; The degree of a nonzero constant term is 0.
Polynomial a monomial or a sum of monomials; Each monmial 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; To multiply two binomials using the FOIL Method, find the sum of the products of the First terms, Outer terms, Inner terms, and Last terms.
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. If a & b are real numbers an ab=0, then a=0 or b=0
Root 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 of terms, and look for the common binomial factor
Prime Polynomial a whole number greater than 1 whose only factors are 1 & itself
Factored Completely a factor-able 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