# Study sets matching "polynomials"

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Quadratic Formula

Distance Formula

Midpoint Formula

Equation for a Circle

x = -b ± √(b² - 4ac)/2a

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

(x₁+x₂)/2, (y₁+y₂)/2

(x-h)^2 + (y-k)^2 = r^2... (h,k is the center of the circle)

Quadratic Formula

x = -b ± √(b² - 4ac)/2a

Distance Formula

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

Absolute Value

Base

Coefficient

Constant Function

The distance a number is from zero on a number line AND is den…

The number in a power that is used as a factor. Example 2^6. T…

The number multiplied times a product of variables or powers o…

A function of the form y = number or f(x) = number, such as y…

Absolute Value

The distance a number is from zero on a number line AND is den…

Base

The number in a power that is used as a factor. Example 2^6. T…

Sum of roots

Product of roots (even degree polynomia…

Product of roots (odd degree polynomial…

Horizontal asymptote

-b/a;... a = constant of highest degree of x... b = constant of 2nd…

z/a;... z = constant of the polynomial

-z/a

For the highest degree of x of the (n)umerator and (d)enominat…

Sum of roots

-b/a;... a = constant of highest degree of x... b = constant of 2nd…

Product of roots (even degree polynomia…

z/a;... z = constant of the polynomial

CQ 1- Exponents

CQ 2- Symbolism

CQ 3- Absolute value

CQ 4- Percent Change

uses the exponent rules (pg. 300 of Edge textbook)... 1. Make the…

two types: ... - straightforward symbolism gives us "input" and w…

1. isolate absolute value- remember to reverse sign if you mul…

require you to calculate how much a certain value changes in t…

CQ 1- Exponents

uses the exponent rules (pg. 300 of Edge textbook)... 1. Make the…

CQ 2- Symbolism

two types: ... - straightforward symbolism gives us "input" and w…

Mode

Minimum

Multiple

Negative

The most frequent occuring number in a list

The lowest point, or smallest y-value, on a graph of a function

The product of an integer and another integer

A number less than zero

Mode

The most frequent occuring number in a list

Minimum

The lowest point, or smallest y-value, on a graph of a function

A _____________ is a picture that can b…

The _____________ is comprised of two n…

In the _____________ (5, 4), the first…

A _____________ is a comparison of two…

Venn Diagram

Cartesian Coordinate System, Axis, Origin and quadrants

Ordered pair

Rate; Ratio

A _____________ is a picture that can b…

Venn Diagram

The _____________ is comprised of two n…

Cartesian Coordinate System, Axis, Origin and quadrants

multiplicity

synthetic division

linear

end behavior

when a factor is repeated

shortcut used for dividing polynomials when the divisor is a l…

polynomial with the degree of 1

what happens to a graph as x approaches positive and negative…

multiplicity

when a factor is repeated

synthetic division

shortcut used for dividing polynomials when the divisor is a l…

Computer Science relies on what 3 disci…

A computer does what 2 things?

mechanical procedures

algorithm

The liberal arts, engineering and science

It performs instructions and remembers the results

procedures that can be followed without any though

a mechanical procedure that is guaranteed to finish

Computer Science relies on what 3 disci…

The liberal arts, engineering and science

A computer does what 2 things?

It performs instructions and remembers the results

variable

constant

term

coefficient

a symbol used to represent a quantity that can change

a value that does not change

a variable, a constant. or the product of a constant and one o…

a term understood to be the numerical factor of that term

variable

a symbol used to represent a quantity that can change

constant

a value that does not change

taxonomy

classification

nomenclature

polynomial nomenclature

theory and practice of grouping individuals into species, arra…

delimitation, ordering, and ranking of taxa; the system of int…

body or system of names in a particular field

sentence long naming mechanisms

taxonomy

theory and practice of grouping individuals into species, arra…

classification

delimitation, ordering, and ranking of taxa; the system of int…

Explain how to determine the values tha…

What is the first step in simplifying a…

Explain why the y's cannot be divided o…

When multiplying rational expressions,…

Set the denominator equal to zero and then solve the equation…

Factor the numerator and denominator completely

y is not a factor in the numerator, x+y

It is important to eliminate any common factors in both the nu…

Explain how to determine the values tha…

Set the denominator equal to zero and then solve the equation…

What is the first step in simplifying a…

Factor the numerator and denominator completely

ascending order

binomial

degree of a monomial

degree of a polynomial

When the terms increase in degree from left to right and no te…

A polynomial with exactly two terms.

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

The greatest degree of the polynomial's terms after the polyno…

ascending order

When the terms increase in degree from left to right and no te…

binomial

A polynomial with exactly two terms.

Higher Derivatives

The Nth Derivative

Nth Derivative Formula

Nth Derivative of a Polynomial

If f'(x) is differentiable, then the second derivative, denote…

f^N (x) n= positive interger

f^n (x) = (-1)^n n! X^-n-1

If polynomial degree = k, then f^n (x) = 0 when n>k

Higher Derivatives

If f'(x) is differentiable, then the second derivative, denote…

The Nth Derivative

f^N (x) n= positive interger

Factored Form

Greatest Common Factor (GCF)

Factoring

Factoring by Grouping

A monomial expressed as a product of prime numbers and variabl…

The product of the prime factors common to two or more integer…

To express a polynomial as the product of monomials and polyno…

The use of the distributive property to factor some polynomial…

Factored Form

A monomial expressed as a product of prime numbers and variabl…

Greatest Common Factor (GCF)

The product of the prime factors common to two or more integer…

Constant

Monomial

Order of Magnitude

Scientific Notation

A monomial that is a real number.

A number, a variable, or a product of a number and one or more…

The order of magnitude is the number rounded to the nearest po…

A number which is express as a x 10ⁿ , where 1 ≤ a < 10 and n…

Constant

A monomial that is a real number.

Monomial

A number, a variable, or a product of a number and one or more…

monomial

polynomial

Binomial has __________ Terms

Monomial has __________ term

A polynomial with only one term.... A monomial can also be a cons…

An algebraic expression with one or more terms. None of the va…

two

One

monomial

A polynomial with only one term.... A monomial can also be a cons…

polynomial

An algebraic expression with one or more terms. None of the va…

Pacing

POE

Term

Polynomial

1. Do all the questions at a manageable speed without sacrific…

To increase your score on the Math Level 2 Subject Test, elimi…

An algebraic unit consisting of constants and variables multip…

An algebraic expression consisting of more than one term joine…

Pacing

1. Do all the questions at a manageable speed without sacrific…

POE

To increase your score on the Math Level 2 Subject Test, elimi…