Factoring Out the Greatest Common Factor

The video tutorial covers the concept of factoring out the greatest common factor (GCF) and the distributive property. It begins with an introduction to the distributive property and when to use it, followed by an explanation of factors and prime numbers. The tutorial then provides detailed steps on how to factor out a GCF, focusing on coefficients and variables. Finally, it includes several examples to illustrate the process of factoring out a GCF, emphasizing the importance of identifying common factors and using the smallest exponent for variables.

When using the distributive property, what do you do with the term outside the parentheses?

• Add it to each term inside the parentheses

• Subtract it from each term inside the parentheses

• Multiply it by each term inside the parentheses

• Divide it by each term inside the parentheses

What is a prime factor?

• A factor that is always odd

• A factor that can be divided further

• A factor that cannot be divided further

• A factor that is always even

What is the first step in determining the GCF for coefficients?

• Identify the largest coefficient

• Identify the common variables

• Identify the smallest coefficient

• Identify the common factors

When factoring out a GCF, what should you do if there are no common variables?

• Factor out the smallest coefficient

• Factor out the largest coefficient

• Only factor out the numerical GCF

• Do not factor out anything

In the expression 2x + 8, what is the GCF?

• 4

• 8

• x

• 2

What is the GCF of the coefficients 4 and 10?

• 4

• 2

• 10

• 1

If an expression has no common factors or variables, what is it called?

• Composite

• Prime

• Factorable

• Simplified

What is the GCF of the coefficients 16 and 12?

• 12

• 8

• 4

• 2

In the expression 6x^2 + 3xy, what is the GCF?

• 6xy

• 3xy

• 6x

• 3x

What is the GCF of the coefficients 9, 18, and 27?

• 18

• 6

• 3

• 9