# 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

degree of a monomial

standard form of a polynomial

monomial

binomial

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

The form of a polynomial that places the terms in descending o…

A number, a variable, or a product of a number and one or more…

A polynomial with two terms.

degree of a monomial

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

standard form of a polynomial

The form of a polynomial that places the terms in descending o…

factoring

polynomial... poly=many, nom=term/name

binomial ... bi=two, nom=term/name

trinomial... tri=three, nom=term/name

rewriting an expression as a product of its factors (division)

An expression with many terms

a quantity expressed as a sum or difference of two terms... Examp…

a polynomial with three terms

factoring

rewriting an expression as a product of its factors (division)

polynomial... poly=many, nom=term/name

An expression with many terms

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.

Polynomial

Greatest Common Factor (GCF)

Degree

Term

A monomial or the sum of monomials. (many numbers)

The common factor with the greatest coefficient and the greate…

The exponent of the variable in a term.

A number, a variable, or the product of a number and one or mo…

Polynomial

A monomial or the sum of monomials. (many numbers)

Greatest Common Factor (GCF)

The common factor with the greatest coefficient and the greate…

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;…

Factor by Grouping

AC-Method for Factoring Trinomials

Prime Polynomial

Difference of Squares

b^2 - 2b +yb -2y factors as b(b-2) + y(b - 2), then factor out…

Factor out the GCF from all terms. Find the product ac. Find t…

A polynomial whose only factors are 1 and itself.

a^2 - b^2 factors as (a - b)(a + b)... Ex. 4x^2 - 25... (4x - 5)(4x…

Factor by Grouping

b^2 - 2b +yb -2y factors as b(b-2) + y(b - 2), then factor out…

AC-Method for Factoring Trinomials

Factor out the GCF from all terms. Find the product ac. Find t…

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)…

2 terms

difference of squares

Sum or difference of cubes

3 terms

1. Difference of squares ... 2. Sum or difference of cubes

even powers on perfect square numbers ... start by taking square…

powers divisible by 3 and perfect cube numbers... start by taking…

if a = 1... if a doesn't equal 1

2 terms

1. Difference of squares ... 2. Sum or difference of cubes

difference of squares

even powers on perfect square numbers ... start by taking square…