Factoring by Grouping Concepts

The video tutorial introduces factoring by grouping, a method used when dealing with four terms. It explains how to group terms, find the greatest common factor (GCF) for each group, and combine common factors. The tutorial provides a step-by-step example to illustrate the process, ensuring a clear understanding of the method.

When should you use factoring by grouping?

• When you have two terms

• When you have three terms

• When you have five terms

• When you have four terms

What is the first step in factoring by grouping?

• Add all terms together

• Group the terms into pairs

• Find the GCF of all terms

• Subtract the smallest term from the largest

What is the GCF of the terms 3x^3y^2 and 15xy?

• 15xy

• x^3y^2

• 3x^2y^2

• 3xy

After finding the GCF of the first group, what should you do next?

• Ignore the first group and focus on the second

• Multiply the terms by the GCF

• Divide the GCF by each term

• Add the GCF to each term

What is the GCF of the terms 40 and 8?

• 40

• 8

• 4

• 2

What do you do after finding the GCF for both groups?

• Divide the GCFs by each other

• Add the GCFs together

• Take out the common factor from both groups

• Multiply the GCFs together

What is left after factoring out the common factor in the first example?

• x - 3

• 3xy + 8

• x^2y - 5

• x^3 + 4

In the second example, what is the GCF of the first group x^4 and -3x^3?

• x^2

• x^4

• x

• x^3

What is the common factor in the second example after grouping?

• x^3 + 4

• x^2 - 3

• x - 3

• x^2 + 4

What is the final result after factoring by grouping in the second example?

• x^3 - 3

• x - 3

• x^2 + 4

• x^3 + 4