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Math Ch.7 Vocab
Term | Definition |
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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 |