# Study sets matching "algebra polynomials"

Study sets

Diagrams

Classes

Users

Polynomial

Standard form of a polynomial

Leading coefficient

Constant

A monomial or a sum or difference of monomials.

Contains one variable and is written with the terms in order f…

The coefficient of the first term of a polynomial written in s…

A polynomial of degree 0.

Polynomial

A monomial or a sum or difference of monomials.

Standard form of a polynomial

Contains one variable and is written with the terms in order f…

Algebraic expression

Binomial

Coefficient

Common difference

contains numbers, variables, and operations (no equal sign)

an expression that contains two terms

the "big" number in front of the variable

the constant difference between consecutive terms in a sequence

Algebraic expression

contains numbers, variables, and operations (no equal sign)

Binomial

an expression that contains two terms

Monomial

Polynomial

Degree of a monomial

Degree of a polynomial

a number or a product of numbers and variables

a monomial or sum or difference of monomials

the sum of the exponents of the variables

the degree of the term with the highest degree

Monomial

a number or a product of numbers and variables

Polynomial

a monomial or sum or difference of monomials

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.

degree of a monomial

standard form of a polynomial

monomial

binomial

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

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

A number, a variable, or a product of a number and one or more…

A polynomial with two terms.

degree of a monomial

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

standard form of a polynomial

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

Simplify

Degree of a polynomial

Synthetic division

Polynomial in one variable

To put in its most basic or simple form.

is the highest degree of its monomials with non-zero coefficie…

a simplified method for dividing a polynomial by another polyn…

Polynomials in one variable are algebraic expressions that con…

Simplify

To put in its most basic or simple form.

Degree of a polynomial

is the highest degree of its monomials with non-zero coefficie…

Monomial

Polynomial

Leading Coefficient

Degree of the Monomial

a variable(s), a number or product of a variable(s) and number

a sum or difference of unlike monomials

the coefficient of the term with the highest degree

the sum of the exponents of the variables in the monomial

Monomial

a variable(s), a number or product of a variable(s) and number

Polynomial

a sum or difference of unlike monomials

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

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

Degree of a polynomial

A number, a variable, or a product of numbers and variables wi…

The sum of the exponents of the variables.

A monomial or a sum or difference of monomials.

The degree of the term with the greatest degree.

Monomial

A number, a variable, or a product of numbers and variables wi…

Degree of a monomial

The sum of the exponents of the variables.

Coefficient

Like Terms

Constant

Linear Polynomial

A number multiplied to a variable

Terms that have the same variable(s) raised to the same expone…

A term without a variable or a polynomial to the zero degree

A first degree polynomial

Coefficient

A number multiplied to a variable

Like Terms

Terms that have the same variable(s) raised to the same expone…

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…

Leading Coefficient

Constant Term

Degree

End Behavior

Coefficient in front of the x-variable with has the highest po…

A term that has no variable part, such as -4 or 2

The degree of a polynomial corresponds to the highest power on…

The behavior of the graph of a function as x approaches positi…

Leading Coefficient

Coefficient in front of the x-variable with has the highest po…

Constant Term

A term that has no variable part, such as -4 or 2

Polynomial

Difference of Squares

Factor

Trinomial

an expression with two or more terms

a^2 -b^2 = (a+b)(a-b)

Break a number into at least two numbers that are multiplied

A polynomial with three terms

Polynomial

an expression with two or more terms

Difference of Squares

a^2 -b^2 = (a+b)(a-b)

-9x² + 11x + 3, Quadratic Trinomial

x³ + x² + 3, Cubic Trinomial

8x²+ 3, Quadratic Binomial

4x⁵ + x, Fifth Degree Binomial

4x + 3 - 9x² + 7x

3 + x³ + x²

3 + 8x²

x³ + 4x⁵ + x - x³

-9x² + 11x + 3, Quadratic Trinomial

4x + 3 - 9x² + 7x

x³ + x² + 3, Cubic Trinomial

3 + x³ + x²

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…

monomials

polynomial

constant

linear

term when connected multiple times makes a polynomial

made up of multiple monomials

7 is an example of a _______ number

5x is an example of a __________

monomials

term when connected multiple times makes a polynomial

polynomial

made up of multiple monomials