Factoring and GCF Concepts

The video tutorial explains how to find the greatest common factor (GCF) of terms, focusing on both numbers and variables. It guides through identifying common factors, dividing by the GCF, and determining other factors needed to reconstruct the original expression. The process involves breaking down terms, performing division, and understanding the role of variables in factorization.

What is the first step in finding the GCF of an expression?

• Determine common factors

• Identify the largest variable

• Divide by the smallest number

• Multiply the terms

What should you look for when identifying common factors?

• Only numbers

• Only variables

• Both numbers and variables

• Neither numbers nor variables

What is the largest number that divides evenly into both 10 and 25?

• 25

• 10

• 5

• 2

What is the GCF of 10 and 25?

• 10

• 2

• 25

• 5

Which variable is the largest that divides into both q and q squared?

• q

• q squared

• q cubed

• None

What is the GCF of q and q squared?

• q

• q squared

• 1

• 0

What is the result of dividing 10q by 5q?

• 2

• 10

• 5q

• 1

What is the purpose of dividing by the GCF?

• To increase the expression

• To simplify the expression

• To eliminate variables

• To find the original expression

What is the simplified form of 10q divided by 5q?

• 10

• 1

• 2

• 5q

How do you rewrite negative 25 q squared for factoring?

• Negative 25

• Negative 25 q times q

• Negative 25 q squared

• Negative 25 q