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# Chapter 7 Vocab

### Math Vobab

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 variable in a monomial; The degree of a nonzero constant term is 0
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; To multiply two binomials using the FOIL Method, find the sum of the products of the First terms, Outer terms, Inner terms, and Last term.
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 and b are real numbers and 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 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.
Created by: amirnight