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Study sets matching "algebra factoring polynomial"

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Study sets matching "algebra factoring polynomial"

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 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
19 terms
Algebra 1 - Factoring Polynomials
What are the two methods to find the p…
Find the prime factorization of 40
Find the prime factorization of 17
What are the two methods to find the G…
1. Factor tree... 2. Ladder diagram
40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5
17... 17 * 1 or just 17
1. List the factors... 2. Prime Factorization
What are the two methods to find the p…
1. Factor tree... 2. Ladder diagram
Find the prime factorization of 40
40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5
15 terms
Algebra 2 - Factoring Polynomials
Polynomial
Greatest Common Factor (GCF)
Degree
Term
A monomial or the sum of monomials.
The common factor with the greatest coefficient and the great…
The exponent of the variable in a term.
A number, a variable, or the product of a number and one or m…
Polynomial
A monomial or the sum of monomials.
Greatest Common Factor (GCF)
The common factor with the greatest coefficient and the great…
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…
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
Algebra 1 Polynomials and Factoring
Polynomial
Monomial
Binomial
Trinomial
A term or the sum or difference of terms
An expression with one term; a number, a variable, or the pro…
A polynomial with two terms
A polynomial with three terms
Polynomial
A term or the sum or difference of terms
Monomial
An expression with one term; a number, a variable, or the pro…
14 terms
Algebra 1 - Factoring Polynomials
What are the two methods to find the p…
Find the prime factorization of 40
Find the prime factorization of 17
What are the two methods to find the G…
1. Factor tree... 2. Ladder diagram
40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5
17... 17 * 1 or just 17
1. List the factors... 2. Prime Factorization
What are the two methods to find the p…
1. Factor tree... 2. Ladder diagram
Find the prime factorization of 40
40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5
22 terms
Honors Algebra 2 Unit 5 - Polynomials and Polynomial Factoring
Scientific Notation
Polynomial
Polynomial Function
End Behavior
A number in the form c x 10^n, where c is between 1 and 10, a…
A monomial or sum of monomials.
The behavior of the graph as x approaches positive infinity o…
Scientific Notation
A number in the form c x 10^n, where c is between 1 and 10, a…
Polynomial
A monomial or sum of monomials.
16 terms
Algebra II: Exponents, Polynomials, Factoring
Product Property
Quotient Property
Power to A Power Property
Power of A Product Property
Product Property
Quotient Property
17 terms
Unit 7: Polynomial Equations & Factoring (Algebra)
binomial
closed
degree of monomial
degree of polynomial
a polynomial with two terms
when an operation performed on any two numbers ... in the set re…
the sum of the exponents of the variables in the ... monomial
the greatest degree of the terms in a polynomial
binomial
a polynomial with two terms
closed
when an operation performed on any two numbers ... in the set re…
11 terms
Chapter 9 Algebra - Polynomials and Factoring
Monomial
degree
polynomial
Standard form of a polynomial
expression that is a number, a variable or a product of a num…
exponent
any monomial or the sum/difference of two or more monomials
written from greatest to least degree
Monomial
expression that is a number, a variable or a product of a num…
degree
exponent
11 terms
Factoring Polynomials -- Algebra 1 Review
factoring form x^2+bx+c
factoring form ax^2+bx+c
a^2-b^2 (difference of two squares)
perfect square trinomial in form a^2+2…
terms must add to bx and multiply to c
first and last terms multiplied + second and third terms mult…
(a+b)(a-b)
(a+b)^2
factoring form x^2+bx+c
terms must add to bx and multiply to c
factoring form ax^2+bx+c
first and last terms multiplied + second and third terms mult…
13 terms
Honors Algebra II Factoring Polynomials
a² + 2ab + b² =
(a+b)² =
a² - 2ab + b² =
(a-b)² =
(a + b)²
a² + 2ab + b²
(a-b)²
a² - 2ab + b²
a² + 2ab + b² =
(a + b)²
(a+b)² =
a² + 2ab + b²
14 terms
Algebra 1 - Factoring Polynomials - Project
What are the two methods to find the p…
Find the prime factorization of 40
Find the prime factorization of 17
What are the two methods to find the G…
1. Factor tree... 2. Ladder diagram
40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5
17... 17 * 1 or just 17
1. List the factors... 2. Prime Factorization
What are the two methods to find the p…
1. Factor tree... 2. Ladder diagram
Find the prime factorization of 40
40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5
10 terms
Algebra 1 - Chapter 8 - Polynomials and Factoring
binomial
degree of a monomial
degree of a polynomial
difference of two squares
a polynomial of two terms
is the sum of the exponents of its variables
is the highest degree of any term in the polynomial
an expression of the form a^2 - b^2. It can be factored as (a…
binomial
a polynomial of two terms
degree of a monomial
is the sum of the exponents of its variables
37 terms
Algebra 2: Graphing Polynomials, Polynomial Graphs with Multiplicity, Factoring
(x-3+i√5)(x-3-i√5)
y = x³ + 2
y = x²
y = x³ + 2x² −x −2
x²-6x+14
Does the graph of y= x⁴ more closely resemble y = x² or y= x³?
(x-3+i√5)(x-3-i√5)
x²-6x+14
y = x³ + 2
10 terms
Algebra 1 - Chapter 8 - Polynomials and Factoring
binomial
degree of a monomial
degree of a polynomial
difference of two squares
a polynomial of two terms
is the sum of the exponents of its variables
is the highest degree of any term in the polynomial
an expression of the form a^2 - b^2. It can be factored as (a…
binomial
a polynomial of two terms
degree of a monomial
is the sum of the exponents of its variables
27 terms
Apex Algebra Unit 10: Factoring Polynomials
monomial
degree of a monomial
polynomial
degree of a polynomial
a number, variable, or the product of a number and one or mor…
the sum of the exponents of the variables in the monomial
a monomial or a sum of monomials, each called a term of the ___
the greatest degree of all the terms
monomial
a number, variable, or the product of a number and one or mor…
degree of a monomial
the sum of the exponents of the variables in the monomial
16 terms
Algebra 1 Unit 4 Factoring of Polynomials
reducible
zero product rule
repeated factor
roots
a polynomial that can be factored
if A and B are any two quantities such that (A)(B)= O, then o…
a factor that appears more than once in a factorization
any value at which the polynomial equals zero
reducible
a polynomial that can be factored
zero product rule
if A and B are any two quantities such that (A)(B)= O, then o…
10 terms
Algebra 1 - Chapter 8 - Polynomials and Factoring
binomial
degree of a monomial
degree of a polynomial
difference of two squares
a polynomial of two terms
is the sum of the exponents of its variables
is the highest degree of any term in the polynomial
an expression of the form a^2 - b^2. It can be factored as (a…
binomial
a polynomial of two terms
degree of a monomial
is the sum of the exponents of its variables
30 terms
Algebra 2 Factoring Polynomials All Methods
(2x + 3)(2x - 3)
(x + 5)(x - 4)
(x + 7)(x - 3)
4(2x - y)(2x + y)
Factor: 4x² - 9
Factor: x² + x - 20
Factor: x² + 4x - 21
Factor: 16x² - 4y²
(2x + 3)(2x - 3)
Factor: 4x² - 9
(x + 5)(x - 4)
Factor: x² + x - 20
112 terms
Algebra II - Factoring polynomials & Quadratic Functions
2, 6
1
2a
4
Identify the factors
GCF, is the highest number that divides exactly into two or m…
GCF, is the highest number that multiplies by two or more num…
If there are no common prime factors, the GCF is 1*(true = 4…
2, 6
Identify the factors
1
GCF, is the highest number that divides exactly into two or m…
30 terms
Factoring polynomials
(x+2)(x+4)
(x+3)(x−4
(x+3)(x−5)
(x−2)(x+4)
x²+6x+8
x²−x−12
x²−2x−15
x²+2x−8
(x+2)(x+4)
x²+6x+8
(x+3)(x−4
x²−x−12
22 terms
Algebra I Ch. 8 Polynomials and Factoring
10
3x
½ab²
-1.8m⁵
constant
linear
cubic
degree of 5
10
constant
3x
linear
9 terms
Unit: Polynomials and Factors- Algebra One Vocabulary
monomial
degree of monomial
polynomial
standard form of a polynomial
An expression that is either a number, a variable, or the pro…
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
An expression that is either a number, a variable, or the pro…
degree of monomial
The sum of the exponents of the variables of a monomial.
11 terms
Algebra (7.3-7.9) Multiplying and Factoring Polynomials
Distributive Property
FOIL
(a + b)^2
(a - b)^2
a(b + c) = ab + bc
First, Outside, Inside, Last
a^2 + 2ab + b^2
a^2 - 2ab + b^2
Distributive Property
a(b + c) = ab + bc
FOIL
First, Outside, Inside, Last
5 terms
Factoring Polynomials
Difference of 2 squares
Sum of 2 cubes
Difference of 2 cubes
Perfect square trinomial (+)
Difference of 2 squares
Sum of 2 cubes
16 terms
Factoring Polynomials
x² - 3x - 18
x² + 5x + 6
x² -7x + 12
x² + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x² - 3x - 18
(x-6)(x+3)
x² + 5x + 6
(x + 2)(x + 3)
40 terms
Polynomials and Factoring
(4x+3)+(6x-5)
(3x²+5x-2)-(6x²-4x+3)
(7x²-4x+3)+(-4x²-11x+2)
(-7x+6)-(8x-4)
10x - 2
-3x²+9x-5
3x²-15x+5
-15x+10
(4x+3)+(6x-5)
10x - 2
(3x²+5x-2)-(6x²-4x+3)
-3x²+9x-5
16 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
15 terms
Factoring Polynomials
Greatest Common Factor (GCF)
Monomial
A polynomial is
Leading term
The greatest common factor (GCF) of two or more integers is t…
A monomial is a product of numbers and powers of variables.
a sum of monomials.
The leading term of a polynomial is the first term when the p…
Greatest Common Factor (GCF)
The greatest common factor (GCF) of two or more integers is t…
Monomial
A monomial is a product of numbers and powers of variables.
11 terms
Factoring Polynomials
binomial
degree of a polynomial
monomial
polynomial
A polynomial of two terms.
The highest degree of any term of the polynomial.
A real number, a variable, or a product of a real number and…
A monomial or the sum or difference of two or more monomials.…
binomial
A polynomial of two terms.
degree of a polynomial
The highest degree of any term of the polynomial.
16 terms
Factoring Polynomials
15x(x³-2x²+3)
2x²(3-10x³+2x²)
(x+3)(x-3)
(x+12)(x-12)
Factor 15x⁴-30x³+45x
Factor 6x²-20x⁵+4x⁴
Factor x²-9
Factor x²-144
15x(x³-2x²+3)
Factor 15x⁴-30x³+45x
2x²(3-10x³+2x²)
Factor 6x²-20x⁵+4x⁴
16 terms
Factoring Polynomials
(5a² + 2)(7a - 1)
(2n² + 5)(5n - 7)
(r + 6)(r - 9)
(x - 9)(x - 4)
Factor Completely
Factor Completely
Factor Completely
Factor Completely
(5a² + 2)(7a - 1)
Factor Completely
(2n² + 5)(5n - 7)
Factor Completely
16 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
42 terms
Factoring Polynomials
(x - 6)(x + 3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x² - 3x - 18
x² + 5x + 6
x² -7x + 12
x² + 6x -16
(x - 6)(x + 3)
x² - 3x - 18
(x + 2)(x + 3)
x² + 5x + 6
Practice - Factoring Polynomial Expressions
x²+6x+8
x²−x−12
x²−2x−15
x²+2x−8
(x+2)(x+4)
(x+3)(x−4)
(x+3)(x−5)
(x−2)(x+4)
x²+6x+8
(x+2)(x+4)
x²−x−12
(x+3)(x−4)
15 terms
Factoring Polynomials
Greatest Common Factor (GCF)
Monomial
A polynomial is
Leading term
two or more integers is the greatest integer that divides eac…
is a product of numbers and powers of variables.
a sum of monomials.
The ______ of a polynomial is the first term when the polynom…
Greatest Common Factor (GCF)
two or more integers is the greatest integer that divides eac…
Monomial
is a product of numbers and powers of variables.
5 terms
Factoring Polynomials
Difference of squares
Sum of cubes
Difference of cubes
Perfect square trinomial (+)
Difference of squares
Sum of cubes
16 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
42 terms
Factoring Polynomials
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
x^2 - 3x - 18
(x + 2)(x + 3)
x^2 + 5x + 6
30 terms
Factoring polynomials
(x+2)(x+4)
(x+3)(x−4
(x+3)(x−5)
(x−2)(x+4)
x²+6x+8
x²−x−12
x²−2x−15
x²+2x−8
(x+2)(x+4)
x²+6x+8
(x+3)(x−4
x²−x−12
15 terms
Factoring polynomial expressions / solving polynomials
5xy(3y + 2)
6c(1 + 4c²)
4x(x - 4) x = 0 or x = 4
(x+3)(x−4)
Factor: 15xy² + 10xy
Factor 6c + 24c³
Solve 4x² - 16x = 0
Factor x²−x−12
5xy(3y + 2)
Factor: 15xy² + 10xy
6c(1 + 4c²)
Factor 6c + 24c³
12 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
33 terms
Practice - Factoring Polynomial Expressions
x²+6x+8
x²−x−12
x²−2x−15
x²+2x−8
(x+2)(x+4)
(x+3)(x−4)
(x+3)(x−5)
(x−2)(x+4)
x²+6x+8
(x+2)(x+4)
x²−x−12
(x+3)(x−4)
13 terms
Factoring Polynomials
Binomial
Degree of a monomial
Degree of a polynomial
Monomial
A polynomial with two terms
The sum of the exponents of the variables in the monomial
The greatest degree among its monomial terms
A number, a variable, or a product of a number and one or mor…
Binomial
A polynomial with two terms
Degree of a monomial
The sum of the exponents of the variables in the monomial
16 terms
Factoring Polynomials
15x(x³-2x²+3)
2x²(3-10x³+2x²)
(x+3)(x-3)
(x+12)(x-12)
Factor 15x⁴-30x³+45x
Factor 6x²-20x⁵+4x⁴
Factor x²-9
Factor x²-144
15x(x³-2x²+3)
Factor 15x⁴-30x³+45x
2x²(3-10x³+2x²)
Factor 6x²-20x⁵+4x⁴
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
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