Using factor trees to identify the GCF and factor it out of a binomial

The video tutorial explains how to factor out the Greatest Common Factor (GCF) from algebraic expressions. It begins with an introduction to the concept of GCF, followed by a discussion on prime numbers and their significance in factoring. The tutorial then demonstrates how to factor common variables from expressions and concludes with a verification of the process.

What does GCF stand for in the context of simplifying expressions?

• Greatest Common Function

• Greatest Common Formula

• Greatest Common Fraction

• Greatest Common Factor

Why do the numbers 5 and 7 not have a common factor other than 1?

• Because they are both odd numbers

• Because they are both even numbers

• Because they are both prime numbers

• Because they are both composite numbers

What is the common factor between X squared and X?

• X

• X squared

• 1

• X cubed

What is left when you factor out an X from 5X squared?

• 5X squared

• 5

• 5X

• X

What is the result when you factor out an X from -7X?

• X

• 0

• -7

• -7X