Study sets matching "algebra factoring"

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Study sets matching "algebra factoring"

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.
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
5 terms
Algebra Factoring
(a^2-b^2)=
a^2+2ab+b^2=
a^2-2ab+b^2
a^3+b^3
(a+b)(a-b)
(a+b)^2
(a-b)^2
(a+b)(a^2-ab+b^2)
(a^2-b^2)=
(a+b)(a-b)
a^2+2ab+b^2=
(a+b)^2
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;…
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)
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
Algebra: Factoring
Perfect square
Formula for factoring two different sq…
How can 2x(x^2-4) be simplified?
Trinomial Factoring
Coefficient is a perfect square number... Exponents are even num…
A^2-B^2=(a+b)(a-b)
2x(x+2)(x-2)
Working backwards.
Perfect square
Coefficient is a perfect square number... Exponents are even num…
Formula for factoring two different sq…
A^2-B^2=(a+b)(a-b)
6 terms
Algebra - factoring
(A + B) (A - B)
(A + B)²
(A - B)²
(A + B)³
A² + B²
A² + 2AB + B²
A² - 2AB + B²
A³ + 3A²B + B²
(A + B) (A - B)
A² + B²
(A + B)²
A² + 2AB + B²
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…
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;…
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)
Factoring - Algebra 2
factor
perfect square
Trinomial
Prime Number
A number or polynomial that divides evenly into a number or p…
The square of a rational number
A polynomial with 3 terms
A natural number greater than 1 that has no positive divisors…
factor
A number or polynomial that divides evenly into a number or p…
perfect square
The square of a rational number
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…
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
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
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
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…
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…
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
6 terms
ALGEBRA II 300 - Factoring
First step in factoring
Difference of 2 squares (binomial)
Difference of 2 cubes (binomial)
Sum of 2 cubes (binomial)
FIND GCF
a(squared) - b(squared) = (a-b)(a+b)
a(cubed) - b(cubed) = [(a-b)(a(squared)) + ab + b(squared)]
a(cubed) + b(cubed) = [(a+b)(a(squared))-ab+b(squared)]
First step in factoring
FIND GCF
Difference of 2 squares (binomial)
a(squared) - b(squared) = (a-b)(a+b)
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.
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…
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
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
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
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
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…
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
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
Algebra Factoring Basic
What are the factors in 2 x 3 = 6?
What are the factors in (x+3)(x+3)=27?
What is factoring?
Factor 2y+6
2 and 3
(x+3) and (x+3)
is the process of finding the factors
2(y+3)
What are the factors in 2 x 3 = 6?
2 and 3
What are the factors in (x+3)(x+3)=27?
(x+3) and (x+3)
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
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…
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…
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 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?
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
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
test review algebra factoring
factor completly
factory by grouping
solving equations
trial and error
- find GCF ... -NO =0 ... - NO x=#... * 2k^2+6k-20 ... 2(k+3k-10) ... 2(k+5…
- pairs... - find GCF of both pairs of numbers ... - then multiply…
- factor ... - no GCF ... - YES =0 ... - YES x=#... * x^2-2x-15=0 ... (x-5…
- outside numbers and inside number ... * 2x^2+3x-2=0... (2x-1)(3…
factor completly
- find GCF ... -NO =0 ... - NO x=#... * 2k^2+6k-20 ... 2(k+3k-10) ... 2(k+5…
factory by grouping
- pairs... - find GCF of both pairs of numbers ... - then multiply…
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
12 terms
algebra 2 factoring formulas
a ² +2ab+b ²
a ² -2ab+b ²
a ² -b ²
a³+b³
(a+b) ²
(a-b)²
(a+b) (a-b)
(a+b) (a²-ab+b²)
a ² +2ab+b ²
(a+b) ²
a ² -2ab+b ²
(a-b)²
23 terms
Algebra Chapter 7 Polynomial Equations and Factoring
mono
bi
tri
poly
one
two
three
many
mono
one
bi
two
S Algebra factoring
x2-a2 =
x2-2ax+a2 =
x2+2ax+a2 =
x3-a3 =
x-a,x+a
x-a)2
x+a)2
x-a)x2+ax+a2)
x2-a2 =
x-a,x+a
x2-2ax+a2 =
x-a)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)
5 terms
Factoring Trinomials-Algebra rules
If the second and third number is nega…
a
a
a
If the second and third number is negative, then one of the f…
b
b
b
If the second and third number is nega…
If the second and third number is negative, then one of the f…
a
b
Hon Advanced Algebra- Factoring
6n² + 12n
4a² + 12a
nc² + tc²
a²b + ab²
GCF 6(n² + 2n)
GCF 4a(a + 3)
GCF c²(n + t)
GCF ab(a + b)
6n² + 12n
GCF 6(n² + 2n)
4a² + 12a
GCF 4a(a + 3)
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
5 terms
Algebra 2- Factoring
a^2 + 2ab + b^2
a^2 - 2ab + b^2
a^2 - b^2
a^3 + b^3
(a + b)^2
(a - b)^2
(a + b)(a - b)
(a + b)(a - ab +b^2)
a^2 + 2ab + b^2
(a + b)^2
a^2 - 2ab + b^2
(a - b)^2
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