Study sets matching "algebra factoring polynomial"

Study sets
Classes
Users

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.
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
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
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…
23 terms
Algebra Chapter 7 Polynomial Equations and Factoring
mono
bi
tri
poly
one
two
three
many
mono
one
bi
two
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…
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
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…
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.
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…
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
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
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…
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
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
7 terms
Algebra Special Patterns For Factoring Polynomials
(a+b)∧2 =
(a-b)^2 =
(a+b)(a-b)
(a+b)^3
= a∧2 + 2ab +b∧2
= a^2 - 2ab +b^2
= a^2-b^2
= (a+b)(3^3 + 3a^2b + b^3
(a+b)∧2 =
= a∧2 + 2ab +b∧2
(a-b)^2 =
= a^2 - 2ab +b^2
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
22 terms
Honors Algebra 2 Unit 6 - 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.
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
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
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…
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…
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
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
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)
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.
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.
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)
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
6 terms
Polynomial Factoring
How do you get Prime Factorization
Important Rule
ab + ac
Factor It:... 5k^3 + 10k^2
All factors are prime numbers, it can be written in any order
A polynomial is written in factored form when it's written as…
a(b + c)
5k^3 + 10k^2... ----- -------... 5k^2 5k^2... 5k^2(k + 2)
How do you get Prime Factorization
All factors are prime numbers, it can be written in any order
Important Rule
A polynomial is written in factored form when it's written as…
22 terms
Algebra I Ch. 8 Polynomials and Factoring
10
3x
½ab²
-1.8m⁵
constant
linear
cubic
degree of 5
10
constant
3x
linear
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
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
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)
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
Apex Algebra Unit 10: Factoring Polynomials - Strategies for Solving Quadratic Equations
What is a Quadratic Equation?
What is the Zero Product Property?
How do we complete the square?
What is the quadratic formula?
A quadratic equation is an equation in the form ... Ax^2+Bx+C=0
AB=0 if and only if A=0 or B=0
to make x^2 +bx a perfect square, add (b/2)^2, the square of…
What is a Quadratic Equation?
A quadratic equation is an equation in the form ... Ax^2+Bx+C=0
What is the Zero Product Property?
AB=0 if and only if A=0 or B=0
20 terms
Factoring Polynomials
x²-9
x²-3x-10
x²+3x-10
x²+4x+4
(x-3)(x+3)
(x-5)(x+2)
(x+5)(x-2)
(x+2)²
x²-9
(x-3)(x+3)
x²-3x-10
(x-5)(x+2)
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
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.
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
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
15 terms
Algebra 2 Final Exam Project- Factoring Polynomials Practice Problems
28x^2+15x+2
2x^2-4x-16
2x+14
x^2-16
(x+7)(x+8)
(x-8)(x+4)
2(x+7)
(x+4)(x-4)
28x^2+15x+2
(x+7)(x+8)
2x^2-4x-16
(x-8)(x+4)
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
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)
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)
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
6 terms
Factoring Polynomials
Prime number
Factor
Factorization
Prime factorization
A number that has exactly two factors, 1 and itself.
A number that divides evenly into another number.
The factors of a number written as a product.
The factors of a number written as a product of prime numbers.
Prime number
A number that has exactly two factors, 1 and itself.
Factor
A number that divides evenly into another number.
1 of 10