Factor with GCF and Factoring By Grouping

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify fractions and factor expressions.

Front

How do you find the GCF of two or more terms?

Back

1. List the factors of each term. 2. Identify the common factors. 3. Choose the largest common factor.

Front

Factor the expression: 15w^7 + 40w^5

Back

5w^5(3w^2 + 8)

Front

What is the GCF of 18x^5 and 8x^4?

Back

2x^4

Front

Factor the expression: 18x^2 - 30x - 3x + 5

Back

(6x - 1)(3x - 5)

Front

What is the GCF of 12x^5 and 36x^4?

Back

12x^4

Front

Factor the expression: 4x^2 + 14x + 6x + 21

Back

(2x + 3)(2x + 7)

Front

What is the first step in factoring by grouping?

Back

Group the terms in pairs and factor out the GCF from each pair.

Front

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors, including prime factors and GCF.

Front

How can you check if your factoring is correct?

Back

You can check by multiplying the factors back together to see if you get the original expression.