# Study sets matching "polynomials chapter 5"

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monomial

polynomial

binomial

trinomial

an expression that has only one term (e.g., x, 3y, 5)

a sum of monomials (e.g., x+6, 2x-3y+1)

a polynomial with two terms

a polynomial with three terms

monomial

an expression that has only one term (e.g., x, 3y, 5)

polynomial

a sum of monomials (e.g., x+6, 2x-3y+1)

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…

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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…

What is the Product Property?

What is the Distributive Rule For Produ…

What is the Quotient Rule?

What is the Zero Exponent Rule?

Add the exponents together when two coefficients with exponent…

Distribute the exponent two the coefficients being multiplied…

Subtract the denominator exponent by the nominator exponent

After utilizing the Quotient Rule, if the quotient is zero, th…

What is the Product Property?

Add the exponents together when two coefficients with exponent…

What is the Distributive Rule For Produ…

Distribute the exponent two the coefficients being multiplied…

Monomial

Degree of a Monomial

Polynomial

Degree of a Polynomial

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

the exponent of the variable

a monomial or a sum of monomials

the greatest degree among its monomial terms

Monomial

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

Degree of a Monomial

the exponent of the variable

Monomial

polynomial

degree of a polynomial

standard form of a polynomial function

a real number

monomial or the sum of a monomial

one variable is the greatest degree among its monomal terms

arranges the terms by degree in descending numbers

Monomial

a real number

polynomial

monomial or the sum of a monomial

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 function

degree

Monomial

Binomial

a function whose rule is given by a polynomial in one varaible

the largest power of a variable in an expression

A polynomial with one term

A polynomial with two terms

polynomial function

a function whose rule is given by a polynomial in one varaible

degree

the largest power of a variable in an expression

Product Rule

Quotient Rule

Power of a Power

Power of a Product

When multiplying exponents with the same base, keep the base a…

When dividing exponents with the same base, keep the base and…

To raise a power to a power, multiply the exponents

Each base is raised to the power

Product Rule

When multiplying exponents with the same base, keep the base a…

Quotient Rule

When dividing exponents with the same base, keep the base and…

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

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, th…

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

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, th…

Negative Integral Exponents

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

Number of degrees in 7y^4z^5-2z+8y-1

Number of degrees in -9x^5-2x^4+5

(x+y)(x+y)

(x+y)^2

4+5 in the first part make it have 7 degrees.

Degrees: 5

x^2+xy+xy+y^2

(x+y)(x+y)

Number of degrees in 7y^4z^5-2z+8y-1

4+5 in the first part make it have 7 degrees.

Number of degrees in -9x^5-2x^4+5

Degrees: 5

Algebra

Term

Polynomial

Monomial

a branch of mathematics that uses symbols to represent unknown…

an expression formed from the product of numbers and/or variab…

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

an algebraic expression that consists of one term only.

Algebra

a branch of mathematics that uses symbols to represent unknown…

Term

an expression formed from the product of numbers and/or variab…

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Polynomial

Degree of a polynomial

Standard form

Classification by degree: 0

"Many terms" ; a monomial or the sum of monomials

Highest degree = highest exponant of a variable ; the greatest…

Exponents in descending order

Constant

Polynomial

"Many terms" ; a monomial or the sum of monomials

Degree of a polynomial

Highest degree = highest exponant of a variable ; the greatest…

coefficient

constant

polynomial

classifying polynomials: highest expone…

a number that multiplies with a variable

term with no variable

an expression that has no operations other than +, -, and * by…

linear

coefficient

a number that multiplies with a variable

constant

term with no variable

Algebra

Variables

Polynomials

Terms

a branch of mathematics that uses symbols to represent unknown…

a letter that represents an unknown number.

are made up of terms.

a number or a variable, or the product of numbers and variable…

Algebra

a branch of mathematics that uses symbols to represent unknown…

Variables

a letter that represents an unknown number.

monomial

Degree of the Monomial

Rule For Multiplying Exponential Expres…

Rule For Dividing Exponential Expressio…

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