Factoring (GCF, DOTS, and a=1)

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

What is the GCF of 20 and 30?

Back

10

Front

Factor the expression: 9x^2 - 64

Back

(3x - 8)(3x + 8)

Front

What does DOTS stand for in factoring?

Back

DOTS stands for Difference of Two Squares, a factoring method used for expressions in the form a^2 - b^2.

Front

What is the formula for factoring DOTS?

Back

The formula is a^2 - b^2 = (a - b)(a + b).

Front

Factor the expression using GCF: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

What is the difference between GCF and LCM?

Back

GCF is the largest factor common to two or more numbers, while LCM is the smallest multiple common to two or more numbers.

Front

What is the first step in factoring an expression?

Back

Identify and factor out the GCF from all terms in the expression.