# Study sets matching "algebra chapter 5 math polynomials"

Polynomial/Polynomial Function

Synthetic Substitution

End Behavior

Factor Completely

A polynomial is a monomial or a sum of monomials. A polynomial…

Another way to evaluate a polynomial function is to use synthe…

The end behavior of a function's graph os the behavior of the…

A factorable polynomial with integer coefficients is factored…

Polynomial/Polynomial Function

A polynomial is a monomial or a sum of monomials. A polynomial…

Synthetic Substitution

Another way to evaluate a polynomial function is to use synthe…

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

monomial

binomial

trinomial

polynomial

Any numeral, variable, or a product of a numeral and one or mo…

A polynomial with two terms.

A polynomial with three terms.

A monomial or sum of terms that are monomials.

monomial

Any numeral, variable, or a product of a numeral and one or mo…

binomial

A polynomial with two terms.

polynomial

terms of a polynomial

degree of a polynomial

constant term

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

the monomials added together to form a polynomial

the largest exponent of the polynomial

the term without a variable

polynomial

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

terms of a polynomial

the monomials added together to form a polynomial

Polynomial

Degree

Multiplying two binomials

Linear

An expression that has no operations other than addition, subt…

The highest power of a variable that appears in a polynomial e…

1. Multiply each term of one term by the other. 2. Combine lik…

A word describing a first degree polynomial

Polynomial

An expression that has no operations other than addition, subt…

Degree

The highest power of a variable that appears in a polynomial e…

Sum of Cubes

Difference of Cubes

Factoring by Grouping

Synthetic Division

a^3+b^3 = (a+b)(a^2-ab+b^2)

a^3-b^3 = (a-b)(a^2+ab+b^2)

Factoring method used with polynomials with 4 terms.

Division that simplifies the long-division process for dividin…

Sum of Cubes

a^3+b^3 = (a+b)(a^2-ab+b^2)

Difference of Cubes

a^3-b^3 = (a-b)(a^2+ab+b^2)

Degree of a Polynomial

Depressed Polynomial

End Behavior

Extrema

The highest degree in a polynomials

The result of dividing polynomials

What direction the graph is going

A maximum or minimum

Degree of a Polynomial

The highest degree in a polynomials

Depressed Polynomial

The result of dividing polynomials

Monomial

Degree of a Monomial

Degree of a Polynomial

Standard Form of a Polynomial Function

a real number, a variable, or a product of real numbers and va…

the exponent of a variable

the greatest degree among its monomial terms

terms are listed in descending order of degree, and like terms…

Monomial

a real number, a variable, or a product of real numbers and va…

Degree of a Monomial

the exponent of a variable

algebra

variable

coefficient

term

a branch of mathematics that uses symbols to represent unknown…

a letter that represents an unknown number

a number that multiplies the variable

a number or a variable or the product of numbers and variables

algebra

a branch of mathematics that uses symbols to represent unknown…

variable

a letter that represents an unknown number

monomial

degree of a monomial

polynomial

degree of a polynomial

Is a real number, a variable, or a product of a real number an…

The degree of a monomial in one variable is the exponent of th…

a monomial or a sum of monomials

The degree of a polynomial in one variable is the greatest deg…

monomial

Is a real number, a variable, or a product of a real number an…

degree of a monomial

The degree of a monomial in one variable is the exponent of th…

monomial

binomial

trinomial

polynomial

a real number, variable or product of a real number and one or…

two monomials connected with addition or subtraction... ex. 3x²+5…

three monomials connected with addition or subtraction... ex. x⁴y…

a monomial or a sum of monomials

monomial

a real number, variable or product of a real number and one or…

binomial

two monomials connected with addition or subtraction... ex. 3x²+5…

Varible

Algebraic expression

Coefficient

Define a variable

A symbol that represents an unknown quantity

An expression that contains variables,numbers,and at least one…

The numerical factor of a multiplication expression that conta…

When you choose a variable to represent an unknown quantity

Varible

A symbol that represents an unknown quantity

Algebraic expression

An expression that contains variables,numbers,and at least one…

monomial

degree of a monomial

polynomial

polynomial function

Is a real number, a variable, or a product of a real number an…

The degree of a monomial in one variable is the exponent of th…

a monomial or a sum of monomials

...

monomial

Is a real number, a variable, or a product of a real number an…

degree of a monomial

The degree of a monomial in one variable is the exponent of th…

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.

Vairable

Algebraic Expression

Evaluate

Inequality

A letter used to represent a number

An expression that contains a variable

The process of finding the value of an expression

A statement where we compare two expressions

Vairable

A letter used to represent a number

Algebraic Expression

An expression that contains a variable

Point slope form

Converse

Parallel Lines

Perpendicular

The point slope form of the equation of the non vertical line…

The converse of a conditional statement interchanges the hypot…

If two non vertical lines in the same plane have the same slop…

Two lines in the same plane are perpendicular if they intersec…

Point slope form

The point slope form of the equation of the non vertical line…

Converse

The converse of a conditional statement interchanges the hypot…

Define monomial

What is an example of a monomial?

What is the degree of a monomial? (in o…

What is a polynomial?

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

y = 16

the exponent of the variable

a monomial or sum of monomials

Define monomial

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

What is an example of a monomial?

y = 16

polynomial

degree

like terms

GCF

one or more terms

______ of a monomial --> If a ≠ 0, the degree of axn is n. The…

Terms that have the same variables AND the same... exponents.

greatest common factor

polynomial

one or more terms

degree

______ of a monomial --> If a ≠ 0, the degree of axn is n. The…

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.

NUMERICAL EXPRESSION

VARIABLE

SIMPLIFY

ALGEBRAIC EXPRESSION

EXPRESSION THAT CONTAINS ONLY NUMBERS AND SYMBOLS

A SYMBOL, USUALLY A LETTER, USED TO REPRESENT A NUMBER AND AN…

TO FIND AN EQUIVALENT EXPRESSION THAT IS SIMILAR THAN THE ORIG…

EXPRESSION THAT CONTAINS AT LEAST ONE VARIABLE

NUMERICAL EXPRESSION

EXPRESSION THAT CONTAINS ONLY NUMBERS AND SYMBOLS

VARIABLE

A SYMBOL, USUALLY A LETTER, USED TO REPRESENT A NUMBER AND AN…

Order of Operations

Variable

Evaluate

Expression

1st - (Parenthesis) ... 2nd - Multiply & Divide ... 3rd - Add & Subt…

Unknown, represented by a number

Solve

a number or group of numbers with operation symbols

Order of Operations

1st - (Parenthesis) ... 2nd - Multiply & Divide ... 3rd - Add & Subt…

Variable

Unknown, represented by a number