How to Factor by grouping - Factor by grouping - Factoring a polynomial

The video tutorial explains how to factor expressions by grouping, focusing on cases with four terms. It begins with an overview of different factoring techniques, then delves into the specifics of factoring by grouping. The process involves grouping terms, finding the greatest common factor (GCF) for each group, and ensuring the resulting expressions are equivalent. The tutorial provides a step-by-step guide to achieve the final factored expression, emphasizing the importance of identifying common factors and grouping terms effectively.

What is a common technique used for factoring expressions with four terms?

• Factoring trinomials

• Factoring by grouping

• Factoring by substitution

• Difference of two squares

When factoring by grouping, what is the first step after grouping the terms?

• Combine like terms

• Factor out the GCF from each group

• Multiply the terms

• Add a constant to each term

In the process of factoring by grouping, why is it important to ensure the factored terms are equivalent?

• To eliminate all variables

• To simplify the expression

• To ensure the expression is quadratic

• To make the expression linear

What is the result of factoring the expression 5v^3 - 2v^2 + 25v - 10 by grouping?

• (5v - 2)(v^2 - 5)

• (v^2 - 5)(5v + 2)

• (5v + 2)(v^2 - 5)

• (v^2 + 5)(5v - 2)

What is the greatest common factor (GCF) of the terms 25v and -10?

• 20

• 15

• 5

• 10