# Study sets matching "polynomials"

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Issac Newton

Albert Einstein

Thales

Leonardo Pisano Bigollo

(1642-1727) A famous physicist and mathematician, famous for h…

(1879-1955) Won the Nobel Physics Prize in 1921. Famous for e=…

(c. 624-546 BCE) Considered to be the first true mathematician…

(1170-1250) Invented the Fibonacci Sequence, and introduced th…

Issac Newton

(1642-1727) A famous physicist and mathematician, famous for h…

Albert Einstein

(1879-1955) Won the Nobel Physics Prize in 1921. Famous for e=…

what is an explicit formula

what is a useful trick to finding expli…

FIND OUT IF YOU NEED TO KNOW HOW TO DO…

what is a recursive formula

doesn't rely on the numbers that came before

try and write it out in a box and write out similar sequences…

ik

relates n in the context of n-1

what is an explicit formula

doesn't rely on the numbers that came before

what is a useful trick to finding expli…

try and write it out in a box and write out similar sequences…

degree of a polynomial

depressed polynomial

end behavior

extrema

the degree of the term of the polynomial with the greatest deg…

the quotient when a polynomial is divided by one of its binomi…

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

the maximum and minimum values of a function

degree of a polynomial

the degree of the term of the polynomial with the greatest deg…

depressed polynomial

the quotient when a polynomial is divided by one of its binomi…

speciation

allopatric speciation

sympatric speciation

autopolyploid

-the formation of new and distinct species through the course…

-geographic separation leads to isolation... -overtime, reproduce…

-same homeland... -speciation occurs even though they live togeth…

-failure of chromosome to separate resulting in tetraploid off…

speciation

-the formation of new and distinct species through the course…

allopatric speciation

-geographic separation leads to isolation... -overtime, reproduce…

Basis

Dimension

Nullity... Denoted by nullity (A)

Row Space... Row (A)

A set of vectors is a ______________ for a subspace S if:... 1.)…

If S is a subspace of R^n, then the ____________ is the number…

The dimension (number of vectors) of the null space of a matri…

The subspace of R^m spanned by the rows of a matrix A

Basis

A set of vectors is a ______________ for a subspace S if:... 1.)…

Dimension

If S is a subspace of R^n, then the ____________ is the number…

Correlation coefficient

Weighted rank correlation

Intraclass correlation

Concordance correlation

measures the strength of the association between two variables…

more weight is given to the smallest or largest ranks

used in cases when there are pairs of samples, but the groups…

used to determine whether sets of data are in agreement

Correlation coefficient

measures the strength of the association between two variables…

Weighted rank correlation

more weight is given to the smallest or largest ranks

Big O notation

common orders of magnitude

polynomial-time algorithm

Class P

a notation that expresses computing time (complexity) as the t…

1. O(1) is called bounded time... 2. O(logN) is called logarithmi…

algorithms whose complexity can be expressed as a polynomial i…

the class made up of all polynomial-time algorithms.

Big O notation

a notation that expresses computing time (complexity) as the t…

common orders of magnitude

1. O(1) is called bounded time... 2. O(logN) is called logarithmi…

equation of a circle

radius

what is the standard form of a quadrati…

quadratic roots

(x-h)2 + (y-k)2 = r2

the distance from the center of a circle

ax2+bx+c

the intersection between the graph of the quadratic function w…

equation of a circle

(x-h)2 + (y-k)2 = r2

radius

the distance from the center of a circle

Linear equation

system of equations

solution of system of equations

no solution in systems

an equation where two equations have a constant and a single v…

A system of equations is a collection of two or more equations…

two lines that intersect at a specific point it make the syste…

if two lines do not intersect at any point causing no point to…

Linear equation

an equation where two equations have a constant and a single v…

system of equations

A system of equations is a collection of two or more equations…

direct variation

indirect variation

constant of variation

joint variation

two variables x and y show direct variation provided that y=ax…

y = a/x with a ≠ 0... ex. profit = a/cost... as x goes up, y goes d…

the nonzero constant "a" in a direct variation equation y=ax,…

a relationship that occurs when a quantity varies directly wit…

direct variation

two variables x and y show direct variation provided that y=ax…

indirect variation

y = a/x with a ≠ 0... ex. profit = a/cost... as x goes up, y goes d…

Monomial

Polynomial

Degree of a Monomial

Degree of a Polynomial

A _______________ is a number or a product of numbers and vari…

A ________________ is a monomial pr a sum of different of mono…

The _____________________ is the sum of the exponents of the v…

The _________________ is given by the term with the greatest d…

Monomial

A _______________ is a number or a product of numbers and vari…

Polynomial

A ________________ is a monomial pr a sum of different of mono…

Quadratic Formula

Parabola

Discriminant

Perfect Square

ax2+ bx+ c

a symmetrical open plane curve formed by the intersection of a…

a function of the coefficients of a polynomial equation whose…

the product of a rational number multiplied by itself.

Quadratic Formula

ax2+ bx+ c

Parabola

a symmetrical open plane curve formed by the intersection of a…

Polynomials

Quadratics

Vertex

Parabola

A polynomial is an expression consisting of variables and coef…

A quadratic function, a quadratic polynomial, a polynomial of…

Each angular point of a polygon, polyhedron, or other figure

A parabola is a plane curve, which is mirror-symmetrical, and…

Polynomials

A polynomial is an expression consisting of variables and coef…

Quadratics

A quadratic function, a quadratic polynomial, a polynomial of…

remainder theorem

standard form for complex numbers

how to add and subtract complex numbers

how to multiply complex numbers

if f(x) is divided by (x-k), the remainder is r = f(k)

a + bi

combine like terms and simplify if possible

foil and simplify

remainder theorem

if f(x) is divided by (x-k), the remainder is r = f(k)

standard form for complex numbers

a + bi

Greatest Common Factor (GCF)

Greatest Monomial Factor

Scientific Notation

Characteristic

The greatest integer that can be factored from two or more int…

The common factor that contains the greatest common factor of…

A shorthand method of writing very large or very small numbers…

The exponent of a number in scientific notation.

Greatest Common Factor (GCF)

The greatest integer that can be factored from two or more int…

Greatest Monomial Factor

The common factor that contains the greatest common factor of…

If <\> have no underline, are the circl…

If <\> are underlined, are their circle…

Interval notation of x^2+4x-5<0

Remainder

Unfilled.

Filled

{x|-5<x<1}

The amount left over when one number is divided by another.

If <\> have no underline, are the circl…

Unfilled.

If <\> are underlined, are their circle…

Filled

The three reasons we can't use multiple…

The basic operation of manipulating the…

How to interpret (simple and multiple l…

How to calculate predicted probabilitie…

1. Non normal error terms... 2. Non-constant error variance... 3. Co…

p=1/(1+exp-(B0+B1x1))... B0+B1x1=logit(phat)

as income increases by $1000 the odds of owning a riding lawn…

p=1/(1+exp-(B0+B1x1))

The three reasons we can't use multiple…

1. Non normal error terms... 2. Non-constant error variance... 3. Co…

The basic operation of manipulating the…

p=1/(1+exp-(B0+B1x1))... B0+B1x1=logit(phat)

Monomial

Polynomial

degree of a monomial

degree of a polynomial

A number, a variable, products of numbers and variables all wi…

Is a monomial or the sum or difference between monomials

the sum of the exponents of the variables

the degree of the term in the polynomial that has the highest…

Monomial

A number, a variable, products of numbers and variables all wi…

Polynomial

Is a monomial or the sum or difference between monomials

What Kinds of Linear Roots Are Guarante…

Types of Terms Not Allowed in Roots

Expressions for Factoring Cubic Binomia…

First Thing to Look for When Factoring

Imaginary numbers and those in square roots... 1 + 3i --> 1 - 3i…

Fractions, decimals, and negative x's

x^3 - 8... a = x... b = 2 [ignore the - (2)]... (a - b)(a^2 + ab + b^…

Greatest Common Factor

What Kinds of Linear Roots Are Guarante…

Imaginary numbers and those in square roots... 1 + 3i --> 1 - 3i…

Types of Terms Not Allowed in Roots

Fractions, decimals, and negative x's

simplifying algebraic fractions

degree

divisor

quotient

algebraic fractions are a lot like normal fractions - and you…

the highest power of x in the polynomial

this is the thing you're dividing by

the bit that you get when you divide by the divisor

simplifying algebraic fractions

algebraic fractions are a lot like normal fractions - and you…

degree

the highest power of x in the polynomial