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Chapter 7 Vocab
Math Vobab
Term | Definition |
---|---|
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. |