Honors Algebra I Chapter 8 Vocabulary

Binomial

A polynomial with two terms

degree of a monomial

the sum of the exponents of the variables in the monomial

degree of polynomial

the greatest degree of any term in the polynomial

difference of two squares

a polynomial that can be factored as the product of the sum and difference of two terms

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

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

leading coefficient

The coefficient of the term with the highest degree

perfect square trinomial

a trinomial that is the square of a binomial

Polynomial

A monomial or a sum or difference of monomials

prime polynomial

a polynomial that cannot be written as a product of two polynomials with integral coefficients

quadratic expression

an expression in one variable with a degree of 2 written in the form ax^2+bx+c

standard form of a polynomial

a polynomial that is written with the terms in order from greatest degree to least degree.

Trinomial

A polynomial with three terms

constant polynomial

A polynomial of degree 0.

linear polynomial

a polynomial with a degree of 1

Cubic Polynomial

a polynomial with a degree of 3

quadratic polynomial

a polynomial of degree 2

quartic polynomial

a polynomial with a degree of 4

quintic polynomial

a polynomial with a degree of 5