#### Study sets matching "polynomials"

#### Study sets matching "polynomials"

Absolute Value

Arithmetic Mean

Consecutive

Difference

A #s distance from 0 (always positive). |-4| = 4 |4| = 4

The Average: The sum of a set of numbers divided by the amoun…

Integers in a sequence (1, 2, 3...). ex) 1, 2, 3, 4, 5

Subtract ex) x - 4x

Absolute Value

A #s distance from 0 (always positive). |-4| = 4 |4| = 4

Arithmetic Mean

The Average: The sum of a set of numbers divided by the amoun…

Always makes the number positive, the…

A symbol, usually a letter that repres…

The opposite or additive inverse of an…

The reciprocal or multiplicative inver…

Absolute value

variable

opposite

reciprocal

Always makes the number positive, the…

Absolute value

A symbol, usually a letter that repres…

variable

monomial

polynomial

degree of a polymomial

leading coefficient

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

a monomial or a sum of monomials

the greatest degree of the terms in a polynomial

the coefficient of the first or highest term

monomial

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

polynomial

a monomial or a sum of monomials

Domain

Range

Function

Linear Parent Function

Set of all input (x) values you can plug into a function

Set of all output (y) values you can plug into a function

A relationship where every input value (x) has one and ONLY o…

y=x

Domain

Set of all input (x) values you can plug into a function

Range

Set of all output (y) values you can plug into a function

what is regression used for

what are the 4 types of regression

standard error of measurement

what is a good standard of error (R^2)

predict future scores for the DV based not he IV

simple - linear (2 variables)... polynomial... multiple... stepwise

the extent that each data point is away from the regression l…

.50 and greater

what is regression used for

predict future scores for the DV based not he IV

what are the 4 types of regression

simple - linear (2 variables)... polynomial... multiple... stepwise

Circle

Quadratic function

Parabola

Parabola

the set of points in the xy-plane that are a fixed distance r…

a polynomial function of degree 2

The graph of a quadratic formula

the set of all points in a plane equidistant from a particula…

Circle

the set of points in the xy-plane that are a fixed distance r…

Quadratic function

a polynomial function of degree 2

4x² - 2x - 9

-5x² + 12x - 9

3x² + 3x - 9

15x² - 4x - 9

(x² + 3x + 1) + (3x² - 5x - 10)

(x² + 8x + 1) + (-6x² + 4x - 10)

(6x² + 7x + 1) + (-3x² - 4x - 10)

(9x² + 3x + 1) + (6x² - 7x - 10)

4x² - 2x - 9

(x² + 3x + 1) + (3x² - 5x - 10)

-5x² + 12x - 9

(x² + 8x + 1) + (-6x² + 4x - 10)

a + bi

binomial

coefficient

complex conjugate

The number of the form a + bi, where a and b are real numbers…

a polynomial with two terms

the numbers an, an-1, ..., a0 of the polynomial [in degree n]…

a pair of complex numbers of the form a + bi and a - bi

a + bi

The number of the form a + bi, where a and b are real numbers…

binomial

a polynomial with two terms

simplify powers

scientific notation

dimensional analysis

monomial

to rewrite an expression without parentheses or negative expo…

a number in the form a x 10^n where a>or=1 and <10

performing operations with units of measurement, often in sci…

a number, variable, or the product of one or more variables

simplify powers

to rewrite an expression without parentheses or negative expo…

scientific notation

a number in the form a x 10^n where a>or=1 and <10

Complete factorization over the integers

Completing the square

Difference of two squares

Discriminant of a quadratic equation

Writing a polyniomial as a product of polynomials

Converting quadratic equation into a perfect square trinomial

A squared number subtracted from another subtracted number

The Discriminant of a quadratic equation

Complete factorization over the integers

Writing a polyniomial as a product of polynomials

Completing the square

Converting quadratic equation into a perfect square trinomial

Numerical expression

Algebraic expression

One-step equation

Two-step equation

A mathematical phrase involving only numbers and one or more…

Expression that uses letters or symbols in place of unknown v…

An equation that needs on step to solve

An equation that needs two steps to solve

Numerical expression

A mathematical phrase involving only numbers and one or more…

Algebraic expression

Expression that uses letters or symbols in place of unknown v…

Find an example of a polynomial.

What is the name of this polynomial 4x?

Find an example of a binomial.

Find and example of a trinomial.

12x^5 - 2x^2 + x - 7

monomial

3x + 2

x^2 - 5x + 1

Find an example of a polynomial.

12x^5 - 2x^2 + x - 7

What is the name of this polynomial 4x?

monomial

Faye's parents are replacing the carpe…

The art studio in town places gold tri…

Shondre's room at home has a length th…

Jarvis is remodeling his house by knoc…

3x^2+x-14

6l+10

.25x+10

4x^2+43x+105

Faye's parents are replacing the carpe…

3x^2+x-14

The art studio in town places gold tri…

6l+10

Cartesian Plane

Complex Conjugate

Algebraic Model

Graphical Model

a plane with an X and Y axis

complex numbers a+bi and a-bi

uses algebra to describe a real world situation

a visible representation of a numerical or algebraic model

Cartesian Plane

a plane with an X and Y axis

Complex Conjugate

complex numbers a+bi and a-bi

Reference Angle

Rectangular Coordinates

Terminal Side of an Angle

Radian

the positive acute angle formed by the x-axis and the termina…

A pair of coordinates measured a long axes at a right angles…

the side of the angle that is not the initial side

a unit of angle, equal to an angle at the center of a circle…

Reference Angle

the positive acute angle formed by the x-axis and the termina…

Rectangular Coordinates

A pair of coordinates measured a long axes at a right angles…

axis of symmetry

completing the square

complex conjugates

complex numbers

a line that divides a plane figure or a graph into two congru…

a process used to make a quadratic expression into a perfect…

two complex numbers of the form a+bi and a-bi.

adding real numbers to real multiples of the imaginary unit i.

axis of symmetry

a line that divides a plane figure or a graph into two congru…

completing the square

a process used to make a quadratic expression into a perfect…

polynomial function

quadratic function

axis of symmetry

vertex

a, b, and c are real numbers with a ≠0... f(x) = ax² + bx + c

line to which all parabolas are symmetric

point where the axis intersects the parabola

polynomial function

quadratic function

a, b, and c are real numbers with a ≠0... f(x) = ax² + bx + c

Second-Degree (Quadratic Equations)

The set of points in the xy-plane that…

Standard form for a circle

General form for a circle

Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, where A B and C are all…

Circle

(x-h)^2 + (y-k)^2 = r^2

x^2 + y^2 + ax + by + c = 0

Second-Degree (Quadratic Equations)

Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, where A B and C are all…

The set of points in the xy-plane that…

Circle

Variable

Absolute value

Opposite

Reciprocal

A symbol, usually a letter, that represents one or more numbers

Distance away form zero on the number line and distance is no…

The opposite or additive inverse of any number a is -a. The s…

The reciprocal or multiplicative inverse of any nonzero numbe…

Variable

A symbol, usually a letter, that represents one or more numbers

Absolute value

Distance away form zero on the number line and distance is no…

Standard Form

Terms

Binomial

Trinomial

terms in order from the greatest degree to the least degree

in a mathematical expression terms are separated by + or − si…

a polynomial with two terms

a polynomial with three terms

Standard Form

terms in order from the greatest degree to the least degree

Terms

in a mathematical expression terms are separated by + or − si…

complex fraction

ways to simplify a complex fraction

solving rational equations

rational number

fraction that has a fraction in the numerator and denominator

write its numerator and denominators as single fractions, the…

if each side of the equation is a single rational term, cross…

a number that can be written as a fraction whose numerator an…

complex fraction

fraction that has a fraction in the numerator and denominator

ways to simplify a complex fraction

write its numerator and denominators as single fractions, the…

rational algebraic function

product of conjugate binomials

completely factored form

factor theorem

function with the general equation; f(x)= p(x) / q(x)

(a-b)(a+b) = a (squared) - b (squared)

a polynomial is completely factored when it is written as a p…

(x-b) is a factor of p (x) if and only if P(x)= 0

rational algebraic function

function with the general equation; f(x)= p(x) / q(x)

product of conjugate binomials

(a-b)(a+b) = a (squared) - b (squared)

Asymptote

Complex fraction

Constant of variation

Continuity

A line that a graph approaches but never crosses

A rational expression who's numerator and/or denominator cont…

A linear function of the form F of X equals B

A graph of a function that can be traced with a pencil that n…

Asymptote

A line that a graph approaches but never crosses

Complex fraction

A rational expression who's numerator and/or denominator cont…

Even function

Odd function

X-intercept

Y-intercept

symmetrical about the y-axis

symmetrical about the origin

any point that touches the x-axis (solve for all rational zer…

any point that touches the y-axis (look for the constant)

Even function

symmetrical about the y-axis

Odd function

symmetrical about the origin

X+2

Y-5

4/z

3a

X plus two, two more than a number, the sum of a number and t…

5 less than a number, a number decreased by 5, the difference…

The quotient of 4 and z, four divided by a number, the quotie…

Three times a number, the product of 3 and a, 3 multiplied by…

X+2

X plus two, two more than a number, the sum of a number and t…

Y-5

5 less than a number, a number decreased by 5, the difference…

Degree (Order)

Polynomial

Like Terms

Monomial

the exponent of the variable in a monomial

the sum of one or more monomials

monomials that have the same variable factors

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

Degree (Order)

the exponent of the variable in a monomial

Polynomial

the sum of one or more monomials

parabola

repeated zeros

long division

synthetic division

a special type of u-shaped curve that is the graph of a quadr…

multiplicity of k; if k is odd the graph crosses the x axis,…

divide polynomials like monomials

shortcut that only works for divisors in the form x - k

parabola

a special type of u-shaped curve that is the graph of a quadr…

repeated zeros

multiplicity of k; if k is odd the graph crosses the x axis,…

binomial

closure

coefficient

constant

a polynomial with two terms

a set of numbers is said to be closed, or have closure, under…

a number that is multiplied by a variable

a value that does not change

binomial

a polynomial with two terms

closure

a set of numbers is said to be closed, or have closure, under…

Domain

Range

Y-Intercept

X-Intercept

All of the input or x values in a function

The set of output or y values of a function.

The point where the graph crosses the y-axis

The point where the graph crosses the x-axis

Domain

All of the input or x values in a function

Range

The set of output or y values of a function.

Vertical Translations

Horizontal Translations

Inside f (x) means

Outside f (x) means

What you think (+ → up, - → down)

opposite (+ → left, - → right)

→ horizontal shift

→ vertical shift

Vertical Translations

What you think (+ → up, - → down)

Horizontal Translations

opposite (+ → left, - → right)

degree

polynomial

like terms

monomial

the exponent of the variable in a monomial

the sum of one or more monomials

monomials that have the same variable factors

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

degree

the exponent of the variable in a monomial

polynomial

the sum of one or more monomials

natural numbers

integers

rational numbers

real numbers

set of numbers {1, 2 ,3, ....} ( no fractions/decimals)

set of numbers {..., -3, -2, -1, 0, 1, 2, 3, ...} (no fractio…

the set of a/b such that a & b are elements of integers and b…

{rationals & irrationals}... (ex. 2.12, 3, 0, 4/5)

natural numbers

set of numbers {1, 2 ,3, ....} ( no fractions/decimals)

integers

set of numbers {..., -3, -2, -1, 0, 1, 2, 3, ...} (no fractio…

How to divide fractions

Sum of Cubes

How to rationalize the denominator

The quadratic formula

Invert the divisor (2nd fraction) and multiply and reduce

a³+b³=(a+b)(a²-ab+b²)

No radicals in the denominator... Multiply by conjugate

x equals negative b plus or minus the square root of b square…

How to divide fractions

Invert the divisor (2nd fraction) and multiply and reduce

Sum of Cubes

a³+b³=(a+b)(a²-ab+b²)

Algebra

Term

Polynomials

Degree of a term

A branch of mathematics that uses symbols to represent unknow…

An expression formed from the product of numbers and/or varia…

An algebraic expression made up of terms connected by the ope…

The sum of the exponents on the variables in a single term

Algebra

A branch of mathematics that uses symbols to represent unknow…

Term

An expression formed from the product of numbers and/or varia…

product rule

quotient rule

what is anything raised to the 0 power

power rule

when the bases are the same when multiplying, add the exponents

when the bases are the same when dividing, subtract the expon…

one

when a power is raised to a power, multiply the exponents

product rule

when the bases are the same when multiplying, add the exponents

quotient rule

when the bases are the same when dividing, subtract the expon…

axis of symmetry

standard form of a quadratic equation

vertex form of a quadratic equation

min/max values

the x-coordinate of the vertex (A of S: x = __________)

ax² + bx + c ; a ≠ 0

a(x-h) + k... vertex: (h, k)

the y-value of the vertex

axis of symmetry

the x-coordinate of the vertex (A of S: x = __________)

standard form of a quadratic equation

ax² + bx + c ; a ≠ 0