Factoring out a gcf with two variables from an expression

The video tutorial explains how to identify the greatest common factor (GCF) of terms by examining numbers and variables separately. It involves student interaction to find the GCF of numbers and variables, and applies rules of exponents to simplify expressions. The tutorial concludes with a final calculation of the GCF.

What is the first step in identifying the Greatest Common Factor (GCF) according to the video?

• Combine all terms together.

• Identify each term separately.

• Ignore the numbers and focus on variables.

• Look for the largest number in the expression.

What was identified as the GCF of the numbers in the example?

• Two

• Eight

• Six

• Four

Which power of K was determined to be the GCF for the variable K?

• K

• K^4

• K^2

• K^3

What is the GCF for the variable M as discussed in the video?

• M^4

• M^3

• M^2

• M

What is the final expression after applying the GCF and simplifying using the rules of exponents?

• 4K^2m^3 * (1 + 2K^2 - 3M)

• 4K^2m^3 * (1 + 2K - 3M)

• 4Km^3 * (1 + 2K^2 - 3M)

• 4K^2m^2 * (1 + 2K^2 - 3M)