Study sets matching "polynomials"

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Study sets matching "polynomials"

14 terms
created on January 18, 2017
Simplify Polynomials
(8x - 12) + (6x + 7)
(x³ + 8x² + 1) + (x³ + x)
if the side of a square is 2x² - 3x +1…
(3x + 7) - (5x - 4)
14x - 5
2x³ + 8x² + x + 1
8x² - 12x + 4
8x + 11
(8x - 12) + (6x + 7)
14x - 5
(x³ + 8x² + 1) + (x³ + x)
2x³ + 8x² + x + 1
30 termscreated on January 18, 2017
Math Key Terms
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…
20 termscreated on January 18, 2017
referat
negative numbers
complex numbers
imaginary numbers
set of numbers
liczby ujemne
liczby zespolone
liczby urojone
zbiór liczb
negative numbers
liczby ujemne
complex numbers
liczby zespolone
20 termscreated on January 18, 2017
Algebra 2 Vocab
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
6 termscreated on January 18, 2017
Polynomial Vocab
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
52 termscreated on January 18, 2017
Algebra 1 Vocabulary EOC
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
6 termscreated on January 18, 2017
Critical I regression
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
15 termscreated on January 18, 2017
Voacbulary Algebra 2 Day-2
Exponential growth
Exponential decay
Systems of equations
Polynomials
A set of equations with the same variables
an expression of more than 2 algebraic terms.
Exponential growth
Exponential decay
9 termscreated on January 18, 2017
8.1 conic sections and parabolas definitions
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
18 termscreated on January 18, 2017
Adding and Subtracting Polynomials
4x²-7x-2
-3x²+2x-1
-9x²+29
6
(x²-4x+3) + (3x²-3x-5)
(-x²+3x-4) - (2x²+x-1)
(7x²+15x) + (5-15x+x²) + (24 -17x²)
(3x²+7x) - (3x²+7x-6)
4x²-7x-2
(x²-4x+3) + (3x²-3x-5)
-3x²+2x-1
(-x²+3x-4) - (2x²+x-1)
42 termscreated on January 18, 2017
Adding and subtracting Polynomials, Multiplying Polynomials, EXPONENT RULES (multiplication)
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)
54 termscreated on January 18, 2017
chapter 9 vocab trig
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
15 termscreated on January 18, 2017
Chapter 6 Vocab
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
12 termscreated on January 18, 2017
Math Vocabulary
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
10 termscreated on January 18, 2017
Equations and Expressions
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…
24 termscreated on January 18, 2017
Polynomials Vocabuarly
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
16 termscreated on January 18, 2017
Operations with Polynomials (+, -, X)
(3x + 4)(2x - 1)
(3y³- 11y + 3) - (5y³ + y² + 2)
(3w-4)(2w-1)
(2a³ + 3a² + 7a) + (a³ + a² - 2a)
(6x² + 5x - 4)
(-2y³ - y² - 11y + 1)
(6w² - 11w + 4)
(3a³ + 4a² + 5a)
(3x + 4)(2x - 1)
(6x² + 5x - 4)
(3y³- 11y + 3) - (5y³ + y² + 2)
(-2y³ - y² - 11y + 1)
12 termscreated on January 18, 2017
Polynomial Geometry-based Applications
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
25 termscreated on January 18, 2017
Pre-Calc A Vocab Exam
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
16 termscreated on January 18, 2017
Operations with Polynomials (+, -, X)
(3x + 4)(2x - 1)
(3y³- 11y + 3) - (5y³ + y² + 2)
(3w-4)(2w-1)
(2a³ + 3a² + 7a) + (a³ + a² - 2a)
(6x² + 5x - 4)
(-2y³ - y² - 11y + 1)
(6w² - 11w + 4)
(3a³ + 4a² + 5a)
(3x + 4)(2x - 1)
(6x² + 5x - 4)
(3y³- 11y + 3) - (5y³ + y² + 2)
(-2y³ - y² - 11y + 1)
20 termscreated on January 18, 2017
math
parallel lines
axis of symmetry
parabola
minimum
lines that never meet
a line that runs vertically through the vertex that splits th…
graph of a quadratic equation
lowest
parallel lines
lines that never meet
axis of symmetry
a line that runs vertically through the vertex that splits th…
46 termscreated on January 18, 2017
Pre Cal Vocab Words
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…
63 termscreated on January 18, 2017
Algebra 2 Midterm Material
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…
14 termscreated on January 18, 2017
People Pre-Calc Q2
Heron
Aristarchius
Fibonacci
Euclid
herons formula... 10... 70 Egypt
heliocentrism... BC Greece
Fibonacci... 1100 Italy... 1200 Italy
Put elements in clear format... BC Egypt
Heron
herons formula... 10... 70 Egypt
Aristarchius
heliocentrism... BC Greece
5 termscreated on January 18, 2017
Math
Perimeter
Area
Bynomial
Trimonial
Sum of the side lenths of a seometric object
The number squares of side lengths 1 contained in the interio…
Sum of 2 monomials
Sum of 3 monomials
Perimeter
Sum of the side lenths of a seometric object
Area
The number squares of side lengths 1 contained in the interio…
10 termscreated on January 18, 2017
Polynomials: find the degree of the polynomial/monomial
2x^3y^9
11a^5 + 3c^2 - 6b^8
2m^7 - 10n^2 - 4p^5
98z^11y^5
12th degree monomial
8th degree polynomial
7th degree polynomial
16th degree monomial
2x^3y^9
12th degree monomial
11a^5 + 3c^2 - 6b^8
8th degree polynomial
9 termscreated on January 17, 2017
3.1, 3.2, 3.3, 3.4: Quadratic Functions and Models, Polynomial Functions of Higher Degree, Polynomial and Synthetic Division, and Zeros of Polynomial Functions
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
41 termscreated on January 17, 2017
Pre-Cal: 8.1 and 8.2 Quiz
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
20 termscreated on January 17, 2017
Algebra 2A Vocabulary
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…
9 termscreated on January 17, 2017
Polynomials
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…
42 termscreated on January 17, 2017
Honors Algebra 2 Midterm
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…
8 termscreated on January 17, 2017
Polynomials
Term
Monomials
Binomials
Trinomials
A number, a variable, or a combonation of numbers & variables
A polynomial with one term
A polynomial a with two terms
A polynomial with three terms
Term
A number, a variable, or a combonation of numbers & variables
Monomials
A polynomial with one term
5 termscreated on January 17, 2017
blue boxes (chapter 7)
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)
12 termscreated on January 17, 2017
Chapter 8 Algebra 2 Vocab
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…
21 termscreated on January 17, 2017
Accel Algebra 2 Unit VII Test (Polynomial Functions)
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
17 termscreated on January 17, 2017
5.1-5.5
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…
5 termscreated on January 17, 2017
Algebra 1: Unit 9 Vocabulary
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
19 termscreated on January 17, 2017
Precalc midterm
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,…
15 termscreated on January 17, 2017
chapter 6 math vocabulary
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…
6 termscreated on January 17, 2017
Math: High Degree Polynomials
Even Degree: LC Greater Than 0
Even Degree: LC Less Than 0
Odd Degree: LC Greater Than 0
Odd Degree: LC Less Than 0
Up-Up
Down-Down
Down-Up
Up-Down
Even Degree: LC Greater Than 0
Up-Up
Even Degree: LC Less Than 0
Down-Down
23 termscreated on January 17, 2017
Honors Algebra 2 Semester 1
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.
28 termscreated on January 17, 2017
Calc Semester 1
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)
9 termscreated on January 17, 2017
polynomials vocab
coefficient
constant
polynomials
monomial
the numerical factor before each term
a number that stays constant
a set of terms in the for axn
a polynomial with one term
coefficient
the numerical factor before each term
constant
a number that stays constant
5 termscreated on January 17, 2017
Unit 9
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
173 termscreated on January 17, 2017
Math Final Exam Study Guide
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…
10 termscreated on January 17, 2017
Math Polynomials terms
1 term
2 terms
3 terms
4 terms
Monomial
Binomial
Trimonal
Polynomial
1 term
Monomial
2 terms
Binomial
23 termscreated on January 17, 2017
Math Exam: How To
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)
13 termscreated on January 17, 2017
Polynomials & Linear Relations
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…
14 termscreated on January 17, 2017
polynomial and exponent terms
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…
24 termscreated on January 17, 2017
Math: Ch. 3.1 - 3.4 Study Guide
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
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