#### Study sets matching "algebra chapter 5 math polynomials"

#### 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 polynomia…

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

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 polynomia…

Synthetic Substitution

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

monomial

binomial

trinomial

polynomial

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

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 m…

binomial

A polynomial with two terms.

Polynomial

Degree

Multiplying two binomials

Linear

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

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

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

A word describing a first degree polynomial

Polynomial

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

Degree

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

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 v…

the exponent of a variable

the greatest degree among its monomial terms

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

Monomial

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

Degree of a Monomial

the exponent of a variable

algebraic expression

Equality Properties

numerical expression

solve

an expression that contains at least one variable

applying the same operation to both sides of an equation form…

an expression that contains only numbers and symbols

to work out a solution

algebraic expression

an expression that contains at least one variable

Equality Properties

applying the same operation to both sides of an equation form…

monomial

degree of a monomial

polynomial

degree of a polynomial

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

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

a monomial or a sum of monomials

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

monomial

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

degree of a monomial

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

monomial

binomial

trinomial

polynomial

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

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

three monomials connected with addition or subtraction... ex. x⁴…

a monomial or a sum of monomials

monomial

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

binomial

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

Varible

Algebraic expression

Coefficient

Define a variable

A symbol that represents an unknown quantity

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

The numerical factor of a multiplication expression that cont…

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 on…

monomial

degree of a monomial

polynomial

polynomial function

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

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

a monomial or a sum of monomials

...

monomial

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

degree of a monomial

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

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…

Monomial

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

degree of a monomial

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

Monomial

Degree of a monomial

Polynomial

Degree of a polynomial

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

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 w…

Degree of a monomial

The sum of the exponents of the variables.

polynomial

degree

like terms

GCF

one or more terms

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

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. Th…

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 hypo…

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

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

Point slope form

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

Converse

The converse of a conditional statement interchanges the hypo…

Algebra

Term

Polynomial

Monomial

a branch of mathematics that uses symbols to represent unknow…

an expression formed from the product of numbers and or varia…

an algebraic expression made up of terms connected by the ope…

an algebraic expression with ONE term. 6y

Algebra

a branch of mathematics that uses symbols to represent unknow…

Term

an expression formed from the product of numbers and or varia…

algebraic expression

Equality Properties

numerical expression

solve

an expression that contains at least one variable

applying the same operation to both sides of an equation form…

an expression that contains only numbers and symbols

to work out a solution

algebraic expression

an expression that contains at least one variable

Equality Properties

applying the same operation to both sides of an equation form…

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 ORI…

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 & Sub…

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 & Sub…

Variable

Unknown, represented by a number

monomial

degree of a monomial

polynomial

degree of a polynomial

A polynomial with one term

The exponent of the variable (3x^2 -> degree = 2)

A monomial or sum of monomials

The highest exponent of a variable in the polynomial

monomial

A polynomial with one term

degree of a monomial

The exponent of the variable (3x^2 -> degree = 2)

Variable

Algebraic expression

Algebra tiles

Power

A quantity whose value can change, usually represented by a l…

A mathematical phrase made up of numbers and variables, conne…

We can use different tiles to respire sent expressions, shade…

A product of identical factors and consists of two parts, the…

Variable

A quantity whose value can change, usually represented by a l…

Algebraic expression

A mathematical phrase made up of numbers and variables, conne…

Positive Integral Exponents

Negative Integral Exponents

Zero Exponent

Product Rule of Exponents

If x is a nonzero real number, and n is a positive integer, t…

If x is a nonzero real number, and n is a negative integer, t…

If a is any nonzero real number, then a⁰=1

If m and n are integers, and a=0, then aᵐ × aⁿ = aᵐ⁺ⁿ

Positive Integral Exponents

If x is a nonzero real number, and n is a positive integer, t…

Negative Integral Exponents

If x is a nonzero real number, and n is a negative integer, t…

Monomial

Constant

Coefficient

Polynomial

A numeral, a variable, or the product of a numeral and one or…

A monomial that contains no variables

The numerical factor of a monomial

A monomial or the sum of monomials

Monomial

A numeral, a variable, or the product of a numeral and one or…

Constant

A monomial that contains no variables

Define monomial

What is an example of a monomial?

What is the degree of a monomial? (in…

What is a polynomial?

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

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…

What is an example of a monomial?

y = 16

Products of Exponents... Product of Powers

Products of Exponents... Power of a Power

Products of Exponents... Power of a Product

Products of Exponents... Negative Exponent

a ⁿ ₀ aⁿ = a ⁿ⁺ⁿ

(a ⁿ )ⁿ = a ⁿⁿ

(ab) ⁿ = a ⁿb ⁿ

a⁻ⁿ = 1/aⁿ , a ≠ 0

Products of Exponents... Product of Powers

a ⁿ ₀ aⁿ = a ⁿ⁺ⁿ

Products of Exponents... Power of a Power

(a ⁿ )ⁿ = a ⁿⁿ

polynomial

term

coefficient

monomial

the sum of powers in one or more variables multiplied by coef…

Within a polynomial, each product

the number being multiplied by a power

Polynomials with only one term

polynomial

the sum of powers in one or more variables multiplied by coef…

term

Within a polynomial, each product

End behavior

Local Maximum

Local Minimum

Zeros

Describes the direction of the y-values as x goes to positive…

A peak in the y-values of the graph of the function, but not…

A low in the y-values of the graph of the function, but not t…

Where the graph of the function touches or crosses the y-axis.

End behavior

Describes the direction of the y-values as x goes to positive…

Local Maximum

A peak in the y-values of the graph of the function, but not…

end behavior

monomial

multiplicity

Pascal's Triangle

describes the directions of the graph as you move to the left…

either a real number, a variable, or the product of real numb…

the number of times the related linear factor is repeated in…

a triangular array of numbers in which the first and last num…

end behavior

describes the directions of the graph as you move to the left…

monomial

either a real number, a variable, or the product of real numb…

Scientific Notation

Polynomial

Polynomial Function

End Behavior

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

A monomial or sum of monomials.

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

Scientific Notation

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

Polynomial

A monomial or sum of monomials.

Monomial

Degree of a monomial

Polynomial

Degree of a polynomial

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

The sum of the exponents of the variables. A constant has a d…

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 w…

Degree of a monomial

The sum of the exponents of the variables. A constant has a d…

Odd function

Even function

i^2

Synthetic devision

If f(-x) = -f(x) then then the function is odd

If f(-x) = f(x) then the function is even

-1

X= y plug in -y ... Drop down first number in devision ... Multiply…

Odd function

If f(-x) = -f(x) then then the function is odd

Even function

If f(-x) = f(x) then the function is even

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

monomial

Degree of the Monomial

Rule For Multiplying Exponential Expre…

Rule For Dividing Exponential Expressi…

a number, a variable, or a product of a number and variables.

sum of the exponents of the variables

If same base and multiplying= add exponents

If same base and dividing= subtract the exponents

monomial

a number, a variable, or a product of a number and variables.

Degree of the Monomial

sum of the exponents of the variables

degree of a monomial

end behavior

monomial

multiplicity

the sum of the exponents of all variables in the one term

the directions of the graph to the far left or far right

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

the number of times that a variable's associated factor appea…

degree of a monomial

the sum of the exponents of all variables in the one term

end behavior

the directions of the graph to the far left or far right

Absolute value of complex number

axis of symmetry

Binomial

Complex conjugate

a+bi is the distance from the origin to the point (a,b) in th…

is the line through the vertex of a parabola that divides it…

Quadratic expressions within two terms

a number that can be written in a+bi where a and b are the re…

Absolute value of complex number

a+bi is the distance from the origin to the point (a,b) in th…

axis of symmetry

is the line through the vertex of a parabola that divides it…

polynomial

factoring

conjugates

SOPPS

a finite sum of terms in which all variables are raised to wh…

writing a polynomial as a product

(a - b) and (a + b)... only the second sign is opposite

acronym for factoring sum/diff of cubes... *S*quare... *O*pposite *…

polynomial

a finite sum of terms in which all variables are raised to wh…

factoring

writing a polynomial as a product

Binomial

Coefficient

complex conjugates

complex numbers

A polynomial equation with 2 terms

A number multiplied by a variable in an algebraic expression.

Opposites of your complex number Ex: (a+bi) and (a-bi)

They are often represented as A + Bi.

Binomial

A polynomial equation with 2 terms

Coefficient

A number multiplied by a variable in an algebraic expression.

Monomial

degree

polynomial

Standard form of a polynomial

expression that is a number, a variable or a product of a num…

exponent

any monomial or the sum/difference of two or more monomials

written from greatest to least degree

Monomial

expression that is a number, a variable or a product of a num…

degree

exponent

In 5.1: what does B and M equal

Parallel Line:... what equation:

how to find the slope with two points

perpendicular lines... PROVE

B= starting point... M= rate of change

same slope... y=mx+b

y2-y1... x2-x1

their slopes are negative reciprocals of each others ... WRITE A…

In 5.1: what does B and M equal

B= starting point... M= rate of change

Parallel Line:... what equation:

same slope... y=mx+b

End Behavior: Degree is odd and leadin…

End Behavior: Degree is odd and leadin…

End behavior: Degree is even and leadi…

End behavior: Degree is even and leadi…

As the x values get infinitely negative, the y values get inf…

As the x values get infinitely negative, the y values get inf…

As the x values get infinitely negative and positive, the y v…

As the x values get infinitely negative and positive, the y v…

End Behavior: Degree is odd and leadin…

As the x values get infinitely negative, the y values get inf…

End Behavior: Degree is odd and leadin…

As the x values get infinitely negative, the y values get inf…

Rate of change

Slope

Direct variation

Parent function

Change of the depentant variable... ____________________________…

Vertical change Rise... ____________________ = _____... Horizontal…

Described by any equation in the form Y=KX

The simplest function from the basic set of functions. Y=X or…

Rate of change

Change of the depentant variable... ____________________________…

Slope

Vertical change Rise... ____________________ = _____... Horizontal…