# Study sets matching "algebra factoring"

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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

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

Perfect square

Formula for factoring two different squ…

How can 2x(x^2-4) be simplified?

Trinomial Factoring

Coefficient is a perfect square number... Exponents are even numb…

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 numb…

Formula for factoring two different squ…

A^2-B^2=(a+b)(a-b)

Monomial

degree of a monomial

Polynomial

Standard form of a polynomial

A real number, a variable, or a product of a real number and o…

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 o…

Monomial

A real number, a variable, or a product of a real number and o…

degree of a monomial

The sum of the exponents of the variables of a monomial.

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 prod…

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 prod…

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: -7…

Two perfect squares separated by a subtraction sign. a^2 - b^2…

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;…

What are the general steps in when fact…

How do you factor a quadratic such as t…

How do you factor a difference of two s…

How do you factor a difference OR sum o…

1. Find the GCF: the biggest factor that you can pull out of e…

(a +- b)(a+-b) ... (a plus or minus b) times (a plus or minus b)…

(a + b)(a-b) where: ... a = square root of first term ... b = squar…

DIFFERENCE OF TWO CUBES... (a-b)(a^2+ab+b^2) where... a=cube root…

What are the general steps in when fact…

1. Find the GCF: the biggest factor that you can pull out of e…

How do you factor a quadratic such as t…

(a +- b)(a+-b) ... (a plus or minus b) times (a plus or minus b)…

Monomial

degree of a monomial

Polynomial

Standard form of a polynomial

A real number, a variable, or a product of a real number and o…

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 o…

Monomial

A real number, a variable, or a product of a real number and o…

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 po…

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 po…

perfect square

The square of a rational number

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…

Prime Number

Greatest Common Factor

Factor (verb)

Common Factor

An integer greater than 1 that has no positive integral factor…

The common factor with the greatest coefficient and the greate…

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 factor…

Greatest Common Factor

The common factor with the greatest coefficient and the greate…

What are the two methods to find the pr…

Find the prime factorization of 40

Find the prime factorization of 17

What are the two methods to find the GC…

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 pr…

1. Factor tree... 2. Ladder diagram

Find the prime factorization of 40

40... 10 * 4... 5 * 2 * 2 * 2... 2³ * 5