Chapter 8 Vocab Flashcards
polynomial
A monomial or sum of monomials
binomial
The sum of two monomials
trinomial
The sum of three monomials
degree of a monomial
The sum of the exponents of all its variables
degree of a polynomial
The greatest degree of any term in the polynomial
standard form of a polynomial
A polynomial that is written with the terms in order from greatest degree to least degree
leading coefficient
The coefficient of the term with the highest degree in a polynomial
FOIL method
To multiply two binomials, find the sum of the products of the First terms, the Outer terms, the Inner terms, and the Last terms
quadratic expression
An expression in one variable with a degree of 2
factoring
To express a polynomial as the product of monomials and polynomials
factoring by grouping
The use of the Distributive Property to factor some polynomials having four or more terms
Zero Product Property
If the product of two factors is 0, then at least one of the factors must be 0
quadratic equation
An equation having a quadratic expression set equal to 0, where the leading coefficient is not equal to 0
prime polynomial
A polynomial that cannot be written as a product of two polynomials with integral coefficients
difference of two squares
Two perfect squares separated by a subtraction sign
