Learn how to factor out the GCF variable and number from a binomial

The video tutorial explains the process of factoring algebraic expressions. It begins by identifying terms and determining if they can be expressed as the difference of two squares. The instructor then focuses on factoring out the greatest common factor (GCF), which is identified as 8M in this case. After factoring, the expression is simplified to 4M + 1, and the instructor concludes that no further factoring is possible. The video ends with a brief reflection on the process.

Why can't the expression be considered as a difference of two squares?

• Because M is not a squared number

• Because 8 is not a squared number

• Because the terms are different

• Because 16 is not a squared number

What is the greatest common factor (GCF) identified in the expression?

• 4M

• 8M

• 16M

• M

What is the expression left after factoring out the GCF?

• M + 1

• 16M + 8

• 4M + 1

• 8M + 4

Why can't the expression be simplified further after factoring out the GCF?

• Because 4M + 1 is already in its simplest form

• Because there is no GCF

• Because 8M is not a factor

• Because the terms are not squared

What does the speaker conclude about the factoring process?

• The expression can be further simplified

• The expression is fully factored

• The expression needs more terms

• The expression is incorrect