Factoring Expressions and GCF

The video tutorial explains how to factor a binomial expression by identifying and using the greatest common factor (GCF). It begins with an introduction to factoring and finding common factors, followed by breaking down terms into their prime factors. The tutorial then demonstrates how to find the GCF of the terms and use it to factor the expression. Finally, it shows how to simplify the factored expression, providing a step-by-step approach to understanding the process.

What is the first step in factoring a binomial like 20u²v - 10uv²?

• Divide the terms by 2

• Add the terms

• Find the greatest common factor

• Multiply the terms together

What is the prime factorization of 20?

• 2 x 2 x 5

• 3 x 5

• 2 x 3 x 5

• 5 x 5

Tags

CCSS.7.EE.A.1

How is u² represented in terms of its factors?

• u

• 2u

• u x u

• u²

Tags

CCSS.4.OA.B.4

What is the prime factorization of 10?

• 2 x 3

• 2 x 5

• 3 x 3

• 5 x 5

What is the greatest common factor of 20u²v and 10uv²?

• 20uv

• 2uv

• 5uv

• 10uv

After factoring out the greatest common factor, what is left in the first term?

• 5v

• u²

• 2u

• v

What is the simplified form of 2 x 5 x u x v?

• 10uv

• 20uv

• uv

• 5uv

What is the alternative method to factor the expression?

• Multiply both terms by 2

• Divide each term by the greatest common factor

• Add the terms together

• Subtract the terms

Tags

CCSS.HSA.APR.D.6

What is the result of dividing 20u²v by 10uv?

• 10uv

• 2u

• u²

• v

Tags

CCSS.7.EE.A.1

What is the final factored form of the expression?

• 10uv(2u - v)

• 20uv(2u - v)

• 5uv(2u - v)

• uv(2u - v)

Tags

CCSS.7.EE.A.1