# Study sets matching "polynomials chapter 5"

Study sets

Diagrams

Classes

Users

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…

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

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

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

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

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

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…

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

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…

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

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

polynomial

monomials

1 term

2 terms

A sum and or difference of one or more monomial.

a term made of the product of one or more contants and/or vari…

monomial ex: 3x

binomial ex: 5x(2)=7

polynomial

A sum and or difference of one or more monomial.

monomials

a term made of the product of one or more contants and/or vari…