Factoring GCF: Key Concepts and Techniques

This video tutorial introduces the concept of factoring, focusing on the greatest common factor (GCF). It begins with an explanation of what a factor is and how to find missing factors in expressions. The video then delves into the concept of the GCF, explaining how to identify and factor it out from numbers and variables. The tutorial also covers the relationship between factoring and distribution, emphasizing that factoring is the reverse process of distribution. Finally, the video provides practice problems to reinforce the concepts learned.

What is the missing factor in the expression 4x^2 * ? = 28x^4?

• 4x^2

• 28x^2

• 7x

• 7x^2

What is the missing factor in the expression 3x^3 * ? = -30x^7?

• -10x^2

• -10x^4

• -30x^4

• -10x^3

What is the greatest common factor (GCF) of 18 and 27?

• 18

• 3

• 6

• 9

What is the GCF of 4 and 12, considering both terms have an x?

• 4

• 12

• 12x

• 4x

When factoring, what is the opposite process of distribution?

• Division

• Subtraction

• Multiplication

• Addition

What is the GCF of 2 and 8 in the expression 2x^2 - 8x?

• 2

• 8

• 2x

• 8x

What number divides evenly into 3, 6, and 3 in the expression 3x^2 - 6x + 3?

• 6

• 3

• 2

• 1

What is the GCF of 8 and 10 in the expression 8x - 10?

• 2

• 4

• 8

• 10

What is the GCF of 18, 9, and 6 in the expression 18c^2 - 9c + 6?

• 2

• 3

• 6

• 1

What is the GCF of 6 and 12 in the expression 6x^2 + 12?

• 12

• 6

• 3

• 2