Factoring Out the Greatest Common Factor (GCF)

The video tutorial explains the process of factoring out the greatest common factor (GCF) from expressions. It begins by distinguishing between equations and expressions, emphasizing the importance of identifying common factors. The tutorial demonstrates how to factor out the GCF, using the example of dividing terms by three to simplify an expression. The process is explained as rewriting an expression as a product, ensuring the original expression can be reconstructed by multiplying the factors. The tutorial concludes with a recap of the factoring process and its significance in simplifying expressions.

What is the main focus of the video tutorial?

• Solving equations

• Graphing linear equations

• Factoring out the greatest common factor

• Simplifying fractions

What is the first step in factoring out the GCF from an expression?

• Adding the terms together

• Multiplying the terms

• Identifying the greatest common factor

• Subtracting the terms

What is the GCF in the example provided in the video?

• 12

• 3

• 9

• 6

When factoring out the GCF, what operation is performed on each term?

• Multiplication

• Division

• Subtraction

• Addition

What is the result of dividing 3x by 3 in the context of factoring?

• 0

• 3x

• x

• 9x

What does factoring an expression involve?

• Rewriting it as a quotient

• Rewriting it as a difference

• Rewriting it as a product

• Rewriting it as a sum

What is the result of dividing 18 by 3 in the context of factoring?

• 12

• 9

• 3

• 6

Why do we multiply the GCF back with the terms after factoring?

• To check if the original expression is obtained

• To simplify the expression further

• To eliminate the GCF

• To change the expression into an equation