math vocab unit 7

binomial

a polynomial with two terms

closed

when an operation performed on any two numbers in the set results in a number that is also in the set

degree of a monomial

the sum of the exponents of the variables in the monomial

degree of a polynomial

the greatest degree of the terms in a polynomial

facored completely

a polynomial that is written as a product of unfactorable polynomials with integer coefficients

factored form

a polynomial that is written as a product of factors

factoring by grouping

to use the Distributive Property to factor a polynomial with four terms

FOIL method

a shortcut for multiplying two binomials by finding the sum of the products of the first terms, outer terms, inner terms, and last terms

leading coefficient

the coefficient of the first term of the polynomial written in standard form

monomial

a number, a variable, or a product of a number and one or more variables with whole number exponents

polynomial

a monomial or a sum of monomials

repeated roots

two or more roots of an equation that are the same number

roots

The solution of a polynomial equation

standard form of a polynomial

a polynomial in one variable written with the exponents of the terms decreasing from left to right

trinomial

a polynomial with three terms

zero product property

if the product of two real numbers is 0, then at least one of the numbers is 0