Learn to factor out the gcf from an expression with two terms, 6x^2 - 72x

The video tutorial explains the process of factoring expressions by identifying and using the greatest common factor (GCF). It begins with an introduction to factoring and the importance of recognizing common terms. The instructor then demonstrates how to separate numbers and variables to find the GCF, followed by dividing expressions by the GCF. The tutorial concludes by addressing common mistakes made during the factoring process.

What is the first step in factoring an expression?

• Add all terms together

• Identify the greatest common factor

• Subtract the smallest term from the largest

• Multiply all terms together

When separating numbers and variables, what should you identify first?

• The variable with the highest power

• The variable with the lowest power

• The largest number that divides into all terms

• The smallest number

What is the largest variable that divides into both terms in the example?

• X^4

• X

• X^3

• X^2

What do you do after identifying the GCF in an expression?

• Multiply the terms by the GCF

• Divide each term by the GCF

• Add the GCF to each term

• Subtract the GCF from each term

Why is it important to consider the variable's power when factoring?

• To subtract the variable from the GCF

• To add the variable to the GCF

• To determine the highest power that can be divided

• To ensure the variable is multiplied correctly