How to Factor by grouping - Factoring using the grouping

The video tutorial explains how to factor an expression by grouping, particularly when dealing with four terms. It emphasizes the importance of grouping terms to find a common factor, known as the greatest common factor (GCF). The instructor demonstrates the process of grouping the first two and last two terms, factoring out the GCF, and ensuring the terms are rearranged if necessary to achieve a factorable expression. The tutorial concludes with a successful example of factoring by grouping.

Why is grouping used when factoring expressions with four terms?

• To simplify the expression into a single term

• To factor out the GCF from smaller groups

• To apply the quadratic formula

• To find a common factor among all terms

What should you do if the grouped terms do not have a common factor?

• Add more terms

• Divide by a constant

• Rearrange the terms

• Use the quadratic formula

What is the first step in the example of factoring by grouping?

• Apply the quadratic formula

• Multiply all terms together

• Group the first two and last two terms

• Factor out a constant from all terms

What should be the result after factoring out the GCF from each group?

• The terms should be in ascending order

• The terms should be in descending order

• The terms should be identical

• The terms should be completely different

What is the final step in the example of factoring by grouping?

• Multiply the factored terms

• Add the factored terms together

• Divide the terms by a constant

• Factor out the common binomial