# Study sets matching "algebra factoring polynomial"

Study sets

Diagrams

Classes

Users

Polynomial

Greatest Common Factor (GCF)

Degree

Term

A monomial or the sum of monomials. (many numbers)

The common factor with the greatest coefficient and the greate…

The exponent of the variable in a term.

A number, a variable, or the product of a number and one or mo…

Polynomial

A monomial or the sum of monomials. (many numbers)

Greatest Common Factor (GCF)

The common factor with the greatest coefficient and the greate…

Monomial

degree of a monomial

Polynomial

Standard form of a polynomial

A real number, a variable, or a product of a real number and o…

The sum of the exponents of the variables of a monomial.

A monomial or the sum or difference of two or more monomials.…

The form of a polynomial that places the terms in descending o…

Monomial

A real number, a variable, or a product of a real number and o…

degree of a monomial

The sum of the exponents of the variables of a monomial.

Polynomial

Monomial

Binomial

Trinomial

A term or the sum or difference of terms

An expression with one term; a number, a variable, or the prod…

A polynomial with two terms

A polynomial with three terms

Polynomial

A term or the sum or difference of terms

Monomial

An expression with one term; a number, a variable, or the prod…

Scientific Notation

Polynomial

Polynomial Function

End Behavior

A number in the form c x 10^n, where c is between 1 and 10, an…

A monomial or sum of monomials.

The behavior of the graph as x approaches positive infinity or…

Scientific Notation

A number in the form c x 10^n, where c is between 1 and 10, an…

Polynomial

A monomial or sum of monomials.

Factor by Grouping

AC-Method for Factoring Trinomials

Prime Polynomial

Difference of Squares

b^2 - 2b +yb -2y factors as b(b-2) + y(b - 2), then factor out…

Factor out the GCF from all terms. Find the product ac. Find t…

A polynomial whose only factors are 1 and itself.

a^2 - b^2 factors as (a - b)(a + b)... Ex. 4x^2 - 25... (4x - 5)(4x…

Factor by Grouping

b^2 - 2b +yb -2y factors as b(b-2) + y(b - 2), then factor out…

AC-Method for Factoring Trinomials

Factor out the GCF from all terms. Find the product ac. Find t…

Monomial

degree of a monomial

Polynomial

Standard form of a polynomial

A real number, a variable, or a product of a real number and o…

The sum of the exponents of the variables of a monomial.

A monomial or the sum or difference of two or more monomials.…

The form of a polynomial that places the terms in descending o…

Monomial

A real number, a variable, or a product of a real number and o…

degree of a monomial

The sum of the exponents of the variables of a monomial.

What are the two methods to find the pr…

Find the prime factorization of 40

Find the prime factorization of 17

What are the two methods to find the GC…

1. Factor tree... 2. Ladder diagram

40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5

17... 17 * 1 or just 17

1. List the factors... 2. Prime Factorization

What are the two methods to find the pr…

1. Factor tree... 2. Ladder diagram

Find the prime factorization of 40

40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5

binomial

degree of a monomial

degree of a polynomial

difference of two squares

A polynomial with two terms

The sum of the exponents of the variables of a monomial

The greatest degree of any term in the polynomial

a² - b² = (a + b)(a - b)

binomial

A polynomial with two terms

degree of a monomial

The sum of the exponents of the variables of a monomial

What are the two methods to find the pr…

Find the prime factorization of 40

Find the prime factorization of 17

What are the two methods to find the GC…

1. Factor tree... 2. Ladder diagram

40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5

17... 17 * 1 or just 17

1. List the factors... 2. Prime Factorization

What are the two methods to find the pr…

1. Factor tree... 2. Ladder diagram

Find the prime factorization of 40

40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5

monomial

degree

polynomial

leading coefficient

an algebraic expression consisting of one term.

highest exponent in polynomial, trinomial, and binomial

an expression of more than two algebraic terms, especially the…

the numbers are written in front of the variable with the larg…

monomial

an algebraic expression consisting of one term.

degree

highest exponent in polynomial, trinomial, and binomial

Polynomial

Greatest Common Factor (GCF)

Degree

Term

A monomial or the sum of monomials.

The common factor with the greatest coefficient and the greate…

The exponent of the variable in a term.

A number, a variable, or the product of a number and one or mo…

Polynomial

A monomial or the sum of monomials.

Greatest Common Factor (GCF)

The common factor with the greatest coefficient and the greate…

Polynomial Function

Degree

Standard Form of a Polynomial

Relative Maximum

A function that can be written in the form f(x)= ax^n+ax^n-1+.…

The highest power, n. Is also the largest exponent of the func…

When all like terms have been combined, and the terms are writ…

A function value f(a) is called __________ of f if there is an…

Polynomial Function

A function that can be written in the form f(x)= ax^n+ax^n-1+.…

Degree

The highest power, n. Is also the largest exponent of the func…

a² - b²

a² + b²

a³ - b³

a³ + b³

(a-b)(a+b) [difference of squares]

sum of squares (can't be factored; prime)

(a-b)(a² + ab + b²) [difference of cubes]

(a+b)(a² - ab +b²) [sum of cubes]

a² - b²

(a-b)(a+b) [difference of squares]

a² + b²

sum of squares (can't be factored; prime)

Degree

Monomial

Polynomial

Binomial

A degree is the largest exponent of a variable.

Consisting of one term.

An expression of more than two algebraic terms, especially the…

Consisting of two terms.

Degree

A degree is the largest exponent of a variable.

Monomial

Consisting of one term.

Polynomial

Monomial

Binomial

Trinomial

A term or the sum or difference of terms

An expression with one term; a number, a variable, or the prod…

A polynomial with two terms

A polynomial with three terms

Polynomial

A term or the sum or difference of terms

Monomial

An expression with one term; a number, a variable, or the prod…

Scientific Notation

Polynomial

Polynomial Function

End Behavior

A number in the form c x 10^n, where c is between 1 and 10, an…

A monomial or sum of monomials.

The behavior of the graph as x approaches positive infinity or…

Scientific Notation

A number in the form c x 10^n, where c is between 1 and 10, an…

Polynomial

A monomial or sum of monomials.

factoring form x^2+bx+c

factoring form ax^2+bx+c

a^2-b^2 (difference of two squares)

perfect square trinomial in form a^2+2a…

terms must add to bx and multiply to c

first and last terms multiplied + second and third terms multi…

(a+b)(a-b)

(a+b)^2

factoring form x^2+bx+c

terms must add to bx and multiply to c

factoring form ax^2+bx+c

first and last terms multiplied + second and third terms multi…

Term

Monomial

Degree

Polynomial

A single number or variable, or numbers and variables multipli…

An algebraic expression consisting of one term.

A unit used to measure distances around a circle. One degree e…

An expression of more than two algebraic terms, especially the…

Term

A single number or variable, or numbers and variables multipli…

Monomial

An algebraic expression consisting of one term.

binomial

degree of a monomial

degree of a polynomial

difference of two squares

a polynomial of two terms

is the sum of the exponents of its variables

is the highest degree of any term in the polynomial

an expression of the form a^2 - b^2. It can be factored as (a+…

binomial

a polynomial of two terms

degree of a monomial

is the sum of the exponents of its variables