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Study sets matching "algebra factoring"

5 terms
Algebra- Factoring
2x+4
x^2+3x+2
x^2-16
x^2-14x+49
2(x+2)
(x+1)(x+2)
(x+4)(x-4)
(x-7)(x-7)
2x+4
2(x+2)
x^2+3x+2
(x+1)(x+2)
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.
13 terms
Algebra- Factoring
3ab²-6a²b
c³-c²+2c
3x(4x-1)+ 5(4x-1)
Term
3ab (b-2a)
c (c²-c+2)
(4x-1) (3x+5)
An indicated product
3ab²-6a²b
3ab (b-2a)
c³-c²+2c
c (c²-c+2)
10 terms
algebra factoring
BEFORE STARTING PROBLEM
two terms
three terms
difference of squares
FIND GCF
- difference of squares... - sum of cubes... - difference of cubes
- perfect square trinomials... - (x ___) (x___)... -grouping
- both perfect squares... - Difference (-)... *A^2 - B^2 = (A-B) (A…
BEFORE STARTING PROBLEM
FIND GCF
two terms
- difference of squares... - sum of cubes... - difference of cubes
15 terms
Algebra Topic 4 - Factoring
Binomial
Degree of a Monomial
Degree of a Polynomial
Difference of Two Squares
An expression that is the sum of two numbers. Example: 2x + 8
The sum of all the exponents in a single term ... Example: 4x^6;…
The greatest degree of any term in the polynomial. Example: -…
Two perfect squares separated by a subtraction sign. a^2 - b^…
Binomial
An expression that is the sum of two numbers. Example: 2x + 8
Degree of a Monomial
The sum of all the exponents in a single term ... Example: 4x^6;…
12 terms
Algebra III factoring
Factor: x² + 2x - 8
Factor x² - 3xz - 54z²
Factor 2x² - 7x + 6
Factor 4x² - 4x - 15
(x + 4)(x - 2)
(x + 6z)(x - 9z)
(2x - 3)(x - 2)
(2x - 5)(2x + 3)
Factor: x² + 2x - 8
(x + 4)(x - 2)
Factor x² - 3xz - 54z²
(x + 6z)(x - 9z)
28 terms
Algebra 1 Factoring
(x-6)(x+3) (tip: since a=1, use guess…
(x + 2)(x + 3) (tip: since a=1, use gu…
(x - 3)(x - 4) (tip: since a=1, use gu…
(x + 8)(x - 2) (tip: since a=1, use gu…
Factor x² - 3x - 18
Factor x² + 5x + 6
Factor x² -7x + 12
Factor x² + 6x -16
(x-6)(x+3) (tip: since a=1, use guess…
Factor x² - 3x - 18
(x + 2)(x + 3) (tip: since a=1, use gu…
Factor x² + 5x + 6
7 terms
algebra factoring
Factor by Grouping
The number game
Advanced # game is same as
Substituion
Ab-6a+2b-12... A(b-6) 2(b-6)
X^2+10x+16... Mult:16... Add:10... 2,8... X^2+2x+8x+16... X(x+2)+8(x+2)... (X+8…
.# game expect mult first and last #
5x^4+29x^2-42... Let y=x^2... 5y^2+29y-42... Then advanced # game
Factor by Grouping
Ab-6a+2b-12... A(b-6) 2(b-6)
The number game
X^2+10x+16... Mult:16... Add:10... 2,8... X^2+2x+8x+16... X(x+2)+8(x+2)... (X+8…
5 terms
Algebra Factoring
Difference of two perfect squares
Sum of two perfect squares
Trinomial squares
Generic trinomials ax^2+bx+c
A^2-B^2=(A+B)(A-B)
Doesn't factor
A^2+2AB+B^2=(A+B)^2... A^2-2AB+B^2=(A-B)^2
Guess and check
Difference of two perfect squares
A^2-B^2=(A+B)(A-B)
Sum of two perfect squares
Doesn't factor
12 terms
Factoring Practice - Algebra II
(r + 6)(r - 9)
2(p - 9)(p + 8)
(3x - 1)(x + 3)
(3v + 2)(v - 1)
Factor Completely
Factor Completely
Factor Completely
Factor Completely
(r + 6)(r - 9)
Factor Completely
2(p - 9)(p + 8)
Factor Completely
Algebra 2 Factoring
(x - 9)(x - 1)
(x + 8)(x + 8)
(x - 8)(x + 7)
(x - 10)(x - 5)
x^2 - 10x + 9
x^2 + 16x + 64
x^2 - x - 56
x^2 - 15x + 50
(x - 9)(x - 1)
x^2 - 10x + 9
(x + 8)(x + 8)
x^2 + 16x + 64
15 terms
Algebra Topic 4 - Factoring
Binomial
Degree of a Monomial
Degree of a Polynomial
Difference of Two Squares
An expression that is the sum of two numbers. Example: 2x + 8
The sum of all the exponents in a single term ... Example: 4x^6;…
The greatest degree of any term in the polynomial. Example: -…
Two perfect squares separated by a subtraction sign. a^2 - b^…
Binomial
An expression that is the sum of two numbers. Example: 2x + 8
Degree of a Monomial
The sum of all the exponents in a single term ... Example: 4x^6;…
30 terms
Algebra 2: factoring review
16x² - 1
4x² + 20x + 25
x³ - 27
x² - 6x + 9 - 4y²
(4x - 1)(4x + 1)
(2x + 5)²
(x - 3)(x² + 3x + 9)
(x - 3 - 2y)(x - 3 + 2y)
16x² - 1
(4x - 1)(4x + 1)
4x² + 20x + 25
(2x + 5)²
27 terms
Algebra 1: Factoring Practice
8x²y²(9x⁵ - 2y)... [just GCF]
-9y⁹(1 + 2x²)... [just GCF]
4a³b(5ab⁴ + 2a² - 1)... [just GCF]
x(x³ + 3x - 7) ... [just GCF]
Factor Completely... 72x⁷y² - 16x²y³
Factor Completely... -9y⁹ - 18y⁹x²
Factor Completely... 20a⁴b⁵ + 8a⁵b - 4a³b
Factor Completely... x⁴ + 3x² - 7x
8x²y²(9x⁵ - 2y)... [just GCF]
Factor Completely... 72x⁷y² - 16x²y³
-9y⁹(1 + 2x²)... [just GCF]
Factor Completely... -9y⁹ - 18y⁹x²
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…
27 terms
Algebra 1 CP Factoring Practice
8x²y²(9x⁵ - 2y)... [just GCF]
-9y⁹(1 + 2x²)... [just GCF]
4a³b(5ab⁴ + 2a² - 1)... [just GCF]
x(x³ + 3x - 7) ... [just GCF]
Factor Completely... 72x⁷y² - 16x²y³
Factor Completely... -9y⁹ - 18y⁹x²
Factor Completely... 20a⁴b⁵ + 8a⁵b - 4a³b
Factor Completely... x⁴ + 3x² - 7x
8x²y²(9x⁵ - 2y)... [just GCF]
Factor Completely... 72x⁷y² - 16x²y³
-9y⁹(1 + 2x²)... [just GCF]
Factor Completely... -9y⁹ - 18y⁹x²
27 terms
Algebra 1 CP Factoring Practice
8x²y²(9x⁵ - 2y)... [just GCF]
-9y⁹(1 + 2x²)... [just GCF]
4a³b(5ab⁴ + 2a² - 1)... [just GCF]
x(x³ + 3x - 7) ... [just GCF]
Factor Completely... 72x⁷y² - 16x²y³
Factor Completely... -9y⁹ - 18y⁹x²
Factor Completely... 20a⁴b⁵ + 8a⁵b - 4a³b
Factor Completely... x⁴ + 3x² - 7x
8x²y²(9x⁵ - 2y)... [just GCF]
Factor Completely... 72x⁷y² - 16x²y³
-9y⁹(1 + 2x²)... [just GCF]
Factor Completely... -9y⁹ - 18y⁹x²
10 terms
Algebra 1 - Factoring
Prime Number
Greatest Common Factor
Factor (verb)
Common Factor
An integer greater than 1 that has no positive integral facto…
The common factor with the greatest coefficient and the great…
Write a number as a product of numbers in a set.
A factor of two or more integers.
Prime Number
An integer greater than 1 that has no positive integral facto…
Greatest Common Factor
The common factor with the greatest coefficient and the great…
28 terms
Algebra 1 Factoring
(x-6)(x+3) (tip: since a=1, use guess…
(x + 2)(x + 3) (tip: since a=1, use gu…
(x - 3)(x - 4) (tip: since a=1, use gu…
(x + 8)(x - 2) (tip: since a=1, use gu…
Factor x² - 3x - 18
Factor x² + 5x + 6
Factor x² -7x + 12
Factor x² + 6x -16
(x-6)(x+3) (tip: since a=1, use guess…
Factor x² - 3x - 18
(x + 2)(x + 3) (tip: since a=1, use gu…
Factor x² + 5x + 6
45 terms
Algebra 2--Factoring practice
4x² - 4x + 1
16x² - 40x + 25
49x² - 56x + 16
9x² + 12x + 4
(2x - 1)²
(4x - 5)²
(7x - 4)²
(3x + 2)²
4x² - 4x + 1
(2x - 1)²
16x² - 40x + 25
(4x - 5)²
12 terms
Algebra Review: Factoring #1
(x+3)(x+4)
(x+3)(x-4)
(x+2)(x+6)
(x-2)(x+6)
x²+7x+12
x²-1x-12
x²+8x+12
x²+4x-12
(x+3)(x+4)
x²+7x+12
(x+3)(x-4)
x²-1x-12
28 terms
Algebra 1 Factoring
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
Factor x² - 3x - 18
Factor x² + 5x + 6
Factor x² -7x + 12
Factor x² + 6x -16
(x-6)(x+3)
Factor x² - 3x - 18
(x + 2)(x + 3)
Factor x² + 5x + 6
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
20 terms
Algebra 1 factoring
Commutative Property of +
Commutative Property of x
Commutative Property of +
Commutative Property of x
a + b = b + a
a (b) = (b)a
a + (b + c) = (c + b) + a
a (b c) = (b c) a
Commutative Property of +
a + b = b + a
Commutative Property of x
a (b) = (b)a
8 terms
Algebra 1: Factoring
quadratic expression
quadratic equation
factor
monomial
a polynomial expression with degree 2 (ax^2+bx+c)
a second-degree polynomial equation in a single variable with…
break up a number into the product of smaller numbers.
a polynomial expression with one term.
quadratic expression
a polynomial expression with degree 2 (ax^2+bx+c)
quadratic equation
a second-degree polynomial equation in a single variable with…
25 terms
Hon. Algebra Factoring Formulas
ab(ab-1)
x²y³(xy²-1)
(m-n)(p-q)
3(p-q)
a²b²-ab
x³y⁵-x²y³
p(m-n)-q(m-n)
3p-3q
ab(ab-1)
a²b²-ab
x²y³(xy²-1)
x³y⁵-x²y³
47 terms
Algebra 1 Factoring Practice
(x+7)(x+1)
(x-10)(x-1)
(x-9)(x+10)
(x-2)(x+6)
Factor x^2+8x+7
Factor x^2 -11x+10
Factor x^2 +x-90
Factor x^2+4x-12
(x+7)(x+1)
Factor x^2+8x+7
(x-10)(x-1)
Factor x^2 -11x+10
5 terms
Algebra 2 Factoring
Factor by grouping
Factor each trinomial
Factor each trinomial (a>1)
Factor difference of squares
To be used with four-number equations (ex: 8x^3-4x^2+28x-14).…
To be used with three-number equations (Ex: x^2-11x+10) Find…
To be used with three-numver equations where the first number…
To be used with two-number equations. Find the square root of…
Factor by grouping
To be used with four-number equations (ex: 8x^3-4x^2+28x-14).…
Factor each trinomial
To be used with three-number equations (Ex: x^2-11x+10) Find…
20 terms
Factoring Algebra I and II
x²-25
4x³-12x²+8x
x³+1
x²+10x+21
(x-5)(x+5)
4x(x-1)(x-2)
(x+1)(x²-x+1)
(x+7)(x+3)
x²-25
(x-5)(x+5)
4x³-12x²+8x
4x(x-1)(x-2)
21 terms
Algebra 1 Factoring Quiz Review
2x³y-28x²y²
n²+10n+16
x²-12x+35
4x²-8x+4
2x²y(x-14y)
(n+8)(n+2)
(x-5)(x-7)
4(x-1)²
2x³y-28x²y²
2x²y(x-14y)
n²+10n+16
(n+8)(n+2)
24 terms
Algebra 2 Factoring
(x^2)-25
(x^3)-(a^3)
(x^3)+(a^3)
(x^2)-2xy+(y^2)
(x+5)(x-5) difference of squares
(x-a) ((x^2)+ax+(a^2)) difference of cubes
(x-a) ((x^2)-ax+(a^2)) sum of cubes
(x-y)^2 perfect square trinomial
(x^2)-25
(x+5)(x-5) difference of squares
(x^3)-(a^3)
(x-a) ((x^2)+ax+(a^2)) difference of cubes
10 terms
Algebra Vocabulary for Factoring
prime number
composite number
prime factorization
factored form
A whole number greater than 1 that has exactly two factors, i…
A whole number greater than 1 that has more than 2 factors.
A whole number expressed as a product of factors that are all…
A monomial expressed as a product of prime numbers and variab…
prime number
A whole number greater than 1 that has exactly two factors, i…
composite number
A whole number greater than 1 that has more than 2 factors.
26 terms
Algebra 2 Factoring
What is standard form?
What is vertex form?
What is intercept form?
How do you find the vertex in standard…
f(x)=ax^2+bx+c
f(x)=a(x-h)^2+k
f(x)=a(x-p)(x-q)
(-b/2a), (f(-b/2a))
What is standard form?
f(x)=ax^2+bx+c
What is vertex form?
f(x)=a(x-h)^2+k
8 terms
ALGEBRA 2 MIDTERM: Factoring
Difference of 2 squares (a²-b²)
perfect square trinomial (a² + or - 2a…
sum of cubes (a³ + b³)
difference of cubes ( a³ - b³)
(a+b) (a-b)
(a + or - b)²
(a + b) (a² - ab + b²)
(a - b) (a² + ab + b²)
Difference of 2 squares (a²-b²)
(a+b) (a-b)
perfect square trinomial (a² + or - 2a…
(a + or - b)²
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…
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
14 terms
algebra factoring terms
monomial
degree of a monomial
polynomial
degree of a polynomial
an expression with one term
the sum of the exponents WITH A VARIABLE
a monomial with one or more terms
the degree of the largest exponent
monomial
an expression with one term
degree of a monomial
the sum of the exponents WITH A VARIABLE
11 terms
Algebra Factoring terms
composite number
factored form
factoring
factoring by grouping
A whole number, greater than one, that has more than two fact…
A monomial expressed as a product of prime numbers and variab…
To express a polynomial as the product of monomials and polyn…
The use of the distributive property to factor some polynomia…
composite number
A whole number, greater than one, that has more than two fact…
factored form
A monomial expressed as a product of prime numbers and variab…
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
9 terms
Unit 8 Algebra-Factoring
Factoring
Greatest Common Factor
Monomials
Binomials
The process of expressing a given number or expression as a p…
The greatest factor that divides two numbers.
A number or a variable or the product of numbers and or a var…
A polynomial with two terms.
Factoring
The process of expressing a given number or expression as a p…
Greatest Common Factor
The greatest factor that divides two numbers.
9 terms
Algebra 2: Factoring and Stuff
The degree of the polynomial tells you…
positive leading coefficient to an eve…
positive leading coefficient to an odd…
negative leading coefficient to an eve…
-end behavior... odd degree: the ends go in different directions…
- as x reaches positive infinity f(x) reaches positive infini…
- as x reaches positive infinity f(x) reaches positive infini…
- as x reaches positive infinity f(x) reaches negative infini…
The degree of the polynomial tells you…
-end behavior... odd degree: the ends go in different directions…
positive leading coefficient to an eve…
- as x reaches positive infinity f(x) reaches positive infini…
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
45 terms
CRHS Algebra 2--Factoring practice
4x² - 4x + 1
16x² - 40x + 25
49x² - 56x + 16
9x² + 12x + 4
(2x - 1)²
(4x - 5)²
(7x - 4)²
(3x + 2)²
4x² - 4x + 1
(2x - 1)²
16x² - 40x + 25
(4x - 5)²
20 terms
Algebra 1/HN Factoring Trinomials
x² - 3x + 2
x² + 6x + 8
x² - 4x - 12
x² + 7x - 18
(x - 1)(x - 2)
( x + 2)(x + 4)
(x - 6)(x + 2)
(x + 9)(x - 2)
x² - 3x + 2
(x - 1)(x - 2)
x² + 6x + 8
( x + 2)(x + 4)
16 terms
Algebra 2 Factoring Practice #1
2(x - 5)(x + 5)
(2x - 1)(4x² + 2x + 1)
5(x - 2)(x + 2)
(xy + 3)(x²y² - 3xy + 9)
2x² - 50
8x³ - 1
5x² - 20
x³y³ + 27
2(x - 5)(x + 5)
2x² - 50
(2x - 1)(4x² + 2x + 1)
8x³ - 1
5 terms
Factoring Algebra 2
a²-b²
a²+2ab+b²
a²-2ab+b²
a³+b³
(a+b)(a-b)
(a+b)²
(a-b)²
(a+b)(a²-ab+b²)
a²-b²
(a+b)(a-b)
a²+2ab+b²
(a+b)²
8 terms
Algebra Factoring Names
Trinomial whose leading coefficient > 1
Ordinary Trinomial
Difference of two squares
Product of the sum and the difference…
6x^2 - 7x - 10
x^2 + 7x + 10
x^2 - 49
(x-7) (x+7)
Trinomial whose leading coefficient > 1
6x^2 - 7x - 10
Ordinary Trinomial
x^2 + 7x + 10
8 terms
Algebra 2- Factoring
definition of factor
steps of factoring
a^2 - b^2
a^2 + 2ab + b^2
to rewrite as a multiplication problem
GCF... Grouping... Special Cases
(a + b) (a - b)
(a + b)^2
definition of factor
to rewrite as a multiplication problem
steps of factoring
GCF... Grouping... Special Cases
9 terms
Algebra Quiz- Factoring
The biggest number that divides evenly…
Numbers that don't share any common fa…
1- GCF... 2- Trinomial into two binomials…
The product.
What is the greatest common factor?
What does relatively prime mean?
What are the steps to a factor flow chart?
What is the third term of a trinomial? ( the 15 in x^2 + 8x +…
The biggest number that divides evenly…
What is the greatest common factor?
Numbers that don't share any common fa…
What does relatively prime mean?
34 terms
Factoring Algebraic Expressions
Factor:... 8x+4
Factor:... 4x+4
Factor:... -4x-2
Factor:... -8x+16
4(2x+1)
4(x+1)
-2(2x+1)
-8(x-2)
Factor:... 8x+4
4(2x+1)
Factor:... 4x+4
4(x+1)
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