The video tutorial explains the concept of the greatest common factor (GCF) in algebraic expressions. It uses an example to demonstrate how to factor out common expressions, such as X + 1, from terms. The process involves dividing terms by the common expression and simplifying the result. The tutorial emphasizes that expressions, like numbers and variables, can be factored out. The session concludes with a preview of further examples to reinforce the concept.

What is the Greatest Common Factor (GCF) in the context of expressions?

• A number that divides all terms in an expression

• A variable that is common in all terms

• An expression that is common in all terms

• A constant term in an expression

In the example given, what expression is factored out from the terms?

• X + 1

• 4X

• 3X

• X

What is the result of factoring out X + 1 from the expression?

• 4 + 3

• X + 1

• 4X + 3X

• 7

Why is it important to recognize common factors in expressions?

• To add more terms

• To eliminate variables

• To make expressions more complex

• To simplify expressions

Which of the following can be factored out from an expression?

• Only numbers

• Only variables

• Only expressions

• Numbers, variables, and expressions