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Study sets matching "algebra polynomials"

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Study sets matching "algebra polynomials"

13 terms
Algebra Polynomials
Polynomials
Degree
Constant
Linear
named according to degree and number of terms
greatest exponent of the polynomial
degree of 0
degree of 1
Polynomials
named according to degree and number of terms
Degree
greatest exponent of the polynomial
24 terms
Algebra 2 Polynomials and Polynomial Functions
Monomial in Simplified Form has:
Degree of a Polynomial
Dividend
Divisor
No powers of powers... Each base appears exactly once... All fracti…
Highest exponent in the Polynomial
Number inside the division symbol. The divisor goes into it.
Number on left of the division symbol. It goes into the divid…
Monomial in Simplified Form has:
No powers of powers... Each base appears exactly once... All fracti…
Degree of a Polynomial
Highest exponent in the Polynomial
24 terms
algebra: polynomials
monomial
binomial
trinomial
polynomial
1 term
2 terms
3 terms
more than one term
monomial
1 term
binomial
2 terms
22 terms
Algebra 2: Graphing Polynomials
y = x³
y = −x³
y = x³ + 2
y = x³ + 2x² −x −2
y = x³
y = −x³
35 terms
Algebra 1: EOC Polynomials
Algebraic expression
Binomial
Coefficient
Common difference
contains numbers, variables, and operations (no equal sign)
an expression that contains two terms
the "big" number in front of the variable
the constant difference between consecutive terms in a sequence
Algebraic expression
contains numbers, variables, and operations (no equal sign)
Binomial
an expression that contains two terms
13 terms
(Algebra) Polynomials
Monomial
Degree of a Monomial
Polynomial
Degree of a Polynomial
a number, variable or the product of a number and one more va…
the sum of the exponents of the variables in the monomial... 3a…
a monomial or sum of monomials -- each called a term or the p…
the greatest degree in its term... 3ab² + b = Degree: 3
Monomial
a number, variable or the product of a number and one more va…
Degree of a Monomial
the sum of the exponents of the variables in the monomial... 3a…
Algebra: polynomials
term
standard form
coefficient
greatest common factor (GCF)
a single number or variable
a way of writing down very large or very small numbers easily
a numerical or constant quantity placed before and multiplyin…
the greatest factor that divides two numbers
term
a single number or variable
standard form
a way of writing down very large or very small numbers easily
14 terms
Algebra 2: Graphing Polynomials
y = x³
y = −x³
y = x³ + 2
y = x³ + 2x² −x −2
y = x³
y = −x³
10 terms
ALGEBRA: CHAPTER 8 - POLYNOMIALS AND FACTORING
Monomial
degree of a monomial
Polynomial
Standard form of a polynomial
A real number, a variable, or a product of a real number and…
The sum of the exponents of the variables of a monomial.
A monomial or the sum or difference of two or more monomials.…
The form of a polynomial that places the terms in descending…
Monomial
A real number, a variable, or a product of a real number and…
degree of a monomial
The sum of the exponents of the variables of a monomial.
11 terms
Algebra Polynomials
Constant
Linear
Quadratic
Cubic
Degree of 0
Degree of 1
Degree of 2
Degree of 3
Constant
Degree of 0
Linear
Degree of 1
11 terms
Algebra polynomials
0
1
2
3
constant degree
Linear degree
Quadratic degree
Cubic degree
0
constant degree
1
Linear degree
9 terms
algebra polynomials
degree 0
degree 1
degree 2
degree 3
constant
linear
quadratic
cubic
degree 0
constant
degree 1
linear
9 terms
Algebra- polynomials
i0
i1
i2
i3
1
i
-1
-i
i0
1
i1
i
10 terms
Algebra Polynomials
2x^3+4x^2
7x^5
3x^1+7x^3-1x^7
3x^1+7x^3-1x^7=8x^3
Binomial
Monomial
Trinomial
Polynomial
2x^3+4x^2
Binomial
7x^5
Monomial
11 terms
algebra polynomials
constant
linear
quadratic
cubic
0 degrees
1 degree
2 degrees
3 degrees
constant
0 degrees
linear
1 degree
8 terms
Algebra Polynomials
Monomial
Degree of a Monomial
Polynomial
Degree of a Polynomial
An expression that is either a number, variable, or the produ…
The sum of the exponents of the variables
A sum of monomials
The greatest degree of the terms in a polynomial
Monomial
An expression that is either a number, variable, or the produ…
Degree of a Monomial
The sum of the exponents of the variables
10 terms
Algebra polynomials
Monomial
Binomial
Trinomial
Polynomial
Term w/ 1
Term w/ 2
Term w/ 3
Over 3 terms
Monomial
Term w/ 1
Binomial
Term w/ 2
9 terms
Algebra- polynomials
Degree 0 ex: 3
Degree 1 ex: 5x-4
Degree 2 ex: x^2- 3x
Degree 3 ex: 2x^3-5x
Constant
Linear
Quadratic
Cubic
Degree 0 ex: 3
Constant
Degree 1 ex: 5x-4
Linear
10 terms
Algebra Polynomials
exp. 0
exp. 1
exp. 2
exp. 3
constant
linear
quadratic
cubic
exp. 0
constant
exp. 1
linear
12 terms
Algebra - Polynomials
Monomial
Polynomial
Term
Binomial
A real number, a variable, or a product of a real number and…
A monomial or a sum of monomials
Each monomial part of a polynomial
A polynomial with exactly 2 terms
Monomial
A real number, a variable, or a product of a real number and…
Polynomial
A monomial or a sum of monomials
9 terms
algebra polynomials
Constant
Linear
Quadratic
Cubic
Degree 0
Degree 1
Degree 2
Degree 3
Constant
Degree 0
Linear
Degree 1
11 terms
Algebra polynomials
3x^0
3x^1
3x^2
3x^3
Constant
Linear
Quartic
Cubic
3x^0
Constant
3x^1
Linear
9 terms
algebra polynomials
constant
monomial
coefficient
degree of a variable in a monomial
any number
a constant, variable, or a product of a constant and one or m…
the constant factor in a monomial (coefficient of -st is 1)
the number of times a variable occurs as a factor in the mono…
constant
any number
monomial
a constant, variable, or a product of a constant and one or m…
15 terms
Algebra: polynomials
Which way does an odd degree go?
Which way does an even degree go
Which way does a negative degree go?
Which way does a positive degree go?
⤵️
⤴️
⤴️
⤵️
Which way does an odd degree go?
⤵️
Which way does an even degree go
⤴️
14 terms
Algebra: Polynomials
Has a degree of 0
Has a degree of 1
Has a degree of 2
Has a degree of 3
Constant
Linear
Quadratic
Cubic
Has a degree of 0
Constant
Has a degree of 1
Linear
14 terms
Algebra 1--polynomials
polynomial
binomial
numerical coefficient
exponent
4x+5
If given -2x+5, which one is the numerical coefficient?
polynomial
binomial
4x+5
algebra: polynomial
factored form
equation
linear term
quadratic term
an expression written as a product of factors ... ex. x(x+2) is…
two expressions that are equal (=)
a term with degree 1... ex. -2x, 7a, 6d
a term with degree 2 ... ex. ab, y^2
factored form
an expression written as a product of factors ... ex. x(x+2) is…
equation
two expressions that are equal (=)
11 terms
Algebra Polynomials: Degree and Terms
constant
linear
quadratic
cubic
Degree 0
Degree 1
Degree 2
Degree 3
constant
Degree 0
linear
Degree 1
11 terms
Algebra CC Polynomials
Polynomial
Term
Constant
Coefficient
A term or group of terms (cannot have a negative exponent or…
A constant (number), a variable, and a coefficient with a var…
A number without a variable
The number part of a term with a variable
Polynomial
A term or group of terms (cannot have a negative exponent or…
Term
A constant (number), a variable, and a coefficient with a var…
10 terms
Algebra CC Multiplying Polynomials
-4x (3x² + 25x - 7)
-4x(x + 5)
(3x + 9)(2x + 5)
(2x − 3)(x² − 5x + 4)
-12x³ -100x² +28x
-4x² -20x
6x² + 33x + 45
2x³ − 13x² + 23x − 12
-4x (3x² + 25x - 7)
-12x³ -100x² +28x
-4x(x + 5)
-4x² -20x
8 terms
Algebra 2 Polynomials Stuff
Long Division Tips
Long Division Rules
Synthetic Division Tips
Synthetic Divison Rules
- make sure everything is in ascending order ... - add 0() if a…
- take the first term of the dividend and divide it by the fi…
- make sure everything is in ascending order ... - put 0() if a…
- put all of the coefficients of the dividend together (make…
Long Division Tips
- make sure everything is in ascending order ... - add 0() if a…
Long Division Rules
- take the first term of the dividend and divide it by the fi…
14 terms
Algebra 2: Graphing Polynomials
y = x³
y = −x³
y = x³ + 2
y = x³ + 2x² −x −2
y = x³
y = −x³
18 terms
Algebra Chapter 12 - Polynomials and Quadratics
polynomial
term
coefficient
monomial
the sum of powers in one or more variables multiplied by coef…
Within a polynomial, each product
the number being multiplied by a power
Polynomials with only one term
polynomial
the sum of powers in one or more variables multiplied by coef…
term
Within a polynomial, each product
12 terms
Algebra Unit 8 Polynomials and Factoring
Degree
Monomial
Binomial
Trinomial
For a monomial the degree is the sum of the exponents of the…
A real number, a variable, or a product of a real number and…
A polynomial with two terms.
A polynomial with three terms.
Degree
For a monomial the degree is the sum of the exponents of the…
Monomial
A real number, a variable, or a product of a real number and…
28 terms
Algebra II Polynomials Test
Monomial
Standard Form
Degree
Factored Form
one term
largest to smallest exponent (decreasing order)
standard form: largest exponent... factored form: add multiplici…
f(x)= (x-3) (x+2) (x+1)
Monomial
one term
Standard Form
largest to smallest exponent (decreasing order)
21 terms
Algebra Intro to Polynomials
If Degree is 0
If Degree is 1
If Degree is 2
If Degree is 3
Constant
Linear
Quadratic
Cubic
If Degree is 0
Constant
If Degree is 1
Linear
32 terms
Algebra 2 Unit 7 Polynomials
Binomial Theorem
Conjugate Root Theorem
degree of a monomial
degree of a polynomial
gives a general formula for expanding the binomial, (a + b)^n…
if P(a) is a polynomial with rational or real coefficients, t…
the exponent of the variable in the expression
the greatest degree among the monomial terms
Binomial Theorem
gives a general formula for expanding the binomial, (a + b)^n…
Conjugate Root Theorem
if P(a) is a polynomial with rational or real coefficients, t…
12 terms
Algebra 1 - Polynomials
Polynomial
Difference of Squares
Factor
Trinomial
an expression with two or more terms
a^2 -b^2 = (a+b)(a-b)
Break a number into at least two numbers that are multiplied
A polynomial with three terms
Polynomial
an expression with two or more terms
Difference of Squares
a^2 -b^2 = (a+b)(a-b)
12 terms
Algebra II - Polynomials
Polynomial
Monomial
Binomial
Trinomial
An expression that only has +, -, or *
A number, variable, or the product of both
2 terms
3 terms
Polynomial
An expression that only has +, -, or *
Monomial
A number, variable, or the product of both
28 terms
Algebra 3 Sketching Polynomials
standard form
continuous; smooth
all real numbers
possible real
polynomials are ________ and _________ with no jumps, breaks,…
a polynomial's domain is...
p/q is used to find ______, ________ solutions
standard form
continuous; smooth
polynomials are ________ and _________ with no jumps, breaks,…
8 terms
Pre-Algebra - Polynomials
Polynomial
Term
Monomial
Binomial
Sum of monomials
Each monomial in a polynomial
Each term in a polynomial. For example: 3x + 4y - 1, 3x is a…
A polynomial with two terms.
Polynomial
Sum of monomials
Term
Each monomial in a polynomial
14 terms
Algebra Chapter 7: Polynomials
Monomial
Constant
Coefficient
Polynomial
A numeral, a variable, or the product of a numeral and one or…
A monomial that contains no variables
The numerical factor of a monomial
A monomial or the sum of monomials
Monomial
A numeral, a variable, or the product of a numeral and one or…
Constant
A monomial that contains no variables
10 terms
Algebra Chapter 5 - Polynomials and Polynomial Functions
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…
11 terms
Algebra Polynomials and Factoring Vocab
Monomial
Degree of a Monomial
Polynomial
Binomial
one term that consists of a number, a variable, or the produc…
The sum of the exponents of the variables in the monomial
a monomial or the sum of monomials, each called a term. Terms…
a polynomial with 2 terms
Monomial
one term that consists of a number, a variable, or the produc…
Degree of a Monomial
The sum of the exponents of the variables in the monomial
11 terms
Algebra Polynomials and Factoring Vocab
Monomial
Degree of a Monomial
Polynomial
Binomial
one term that consists of a number, a variable, or the produc…
The sum of the exponents of the variables in the monomial
a monomial or the sum of monomials, each called a term. Terms…
a polynomial with 2 terms
Monomial
one term that consists of a number, a variable, or the produc…
Degree of a Monomial
The sum of the exponents of the variables in the monomial
8 terms
Polynomials Algebra - Bassani
Long Division with polynomials
Synthetic Division with polynomials
Summary of Synthetic Division
Remainder Theorem
- place the root on the side and the coefficients of the divi…
- Divisor must be linear... - divide using root k, not factor x-…
- How to calculate the remainer
Long Division with polynomials
Synthetic Division with polynomials
- place the root on the side and the coefficients of the divi…
13 terms
RRISD Algebra Polynomials Unit
degree (of a polynomial)
terms
polynomial in standard form
polynomial
the sum of the exponents of the variables contained in the term
a number, variable or the product of a number and /or variabl…
a polynomial whose terms are written in descending order of d…
a single term or or the sum of two or more terms
degree (of a polynomial)
the sum of the exponents of the variables contained in the term
terms
a number, variable or the product of a number and /or variabl…
Algebra 1 polynomials
Degree
Coefficient
Leading Coefficient
Term
Largest exponent
Number multiplied to a variable
When written in standard form, the number in front of the lea…
Thing separated by addition or minus signs
Degree
Largest exponent
Coefficient
Number multiplied to a variable
24 terms
Algebra 2 - Polynomial Functions
monomial
binomial
trinomial
polynomial
a real number, variable or product of a real number and one o…
two monomials connected with addition or subtraction... ex. 3x²+…
three monomials connected with addition or subtraction... ex. x⁴…
a monomial or a sum of monomials
monomial
a real number, variable or product of a real number and one o…
binomial
two monomials connected with addition or subtraction... ex. 3x²+…
22 terms
Algebra 1: Polynomials
Degree- 0
Degree- 1
Degree- 2
Degree- 3
constant
linear
quadratic
cubic
Degree- 0
constant
Degree- 1
linear
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