Factor out the GCF

The video tutorial explains how to factor an expression by identifying and factoring out the greatest common factor (GCF). It begins with an introduction to the concept of GCF, followed by steps to find the GCF of numbers. The tutorial then demonstrates how to factor out the GCF from an expression, including factoring variables and exponents. Finally, it shows how to complete the factoring process and verify the work using the distributive property.

What is the first step in identifying the Greatest Common Factor (GCF) in an expression?

• Multiply all terms together.

• Look for the smallest number that divides all terms.

• Identify the largest number that divides all terms.

• Find the sum of all terms.

How can you verify your work after factoring out the GCF?

• By dividing the terms by the GCF again.

• By using the distributive property to multiply the factor back.

• By subtracting the GCF from each term.

• By adding the terms back together.

When factoring variables, what must be true for a variable to be factored out?

• It must be the smallest variable in the expression.

• It must be shared by all terms.

• It must have the highest exponent.

• It must appear in at least one term.

What is the rule for dividing numbers with exponents when factoring?

• Divide the exponents.

• Add the exponents together.

• Multiply the exponents.

• Subtract the exponents.

What is the largest power of a variable that can be factored out?

• The average power of the variable across all terms.

• The highest power present in any term.

• The power that appears in the first term.

• The lowest power present in any term.