#### Study sets matching "algebra factoring"

#### Study sets matching "algebra 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.

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

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

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

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;…

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)

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…

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…

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;…

(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

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…

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

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.

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

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

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…