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

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

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

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

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)

Product Rule

Quotient Rule

Power of a Power

Power of a Product

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

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…

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, 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…

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…

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

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…

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

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…

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 var…

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 var…

when multiplying two numbers with expo…

when a number with an exponent has an…

when two variables are being multiplie…

when the same variable with different…

multiply coeffients (not bases) and add exponents... x^m+n

multiply exponents, if there is a coefficient, multiply that…

multiply the variables by the exponent... x^m y^m

subtract the exponents... x^m-n

when multiplying two numbers with expo…

multiply coeffients (not bases) and add exponents... x^m+n

when a number with an exponent has an…

multiply exponents, if there is a coefficient, multiply that…

degree of a polynomial

depressed polynomial

end behavior

extrema

The degree of the monomial with the greatest degree

A polynomial that has a degree one less than the original pol…

The behavior of the graph of f(x) as x approaches positive in…

The maximum and minimum values of a polynomial function

degree of a polynomial

The degree of the monomial with the greatest degree

depressed polynomial

A polynomial that has a degree one less than the original pol…