How to factor using grouping with multiple terms

The video tutorial explains various factoring techniques, including the difference of squares, sum or difference of cubes, and factoring trinomials. It focuses on factoring by grouping, detailing how to group terms, factor out the greatest common factor (GCF), and rearrange terms if necessary. The tutorial provides a step-by-step example of applying the grouping method, highlighting the importance of identifying common factors and achieving the final factored form.

What should you look for when factoring a polynomial with two terms?

• The product of two cubes

• The difference of two squares

• The sum of two squares

• The sum of two trinomials

When dealing with a polynomial with more than four terms, which method is recommended?

• Factoring by grouping

• Factoring by substitution

• Factoring by division

• Factoring by elimination

In the process of factoring by grouping, what is the first step?

• Rearrange all terms

• Factor out the GCF from all terms

• Group the first two terms and the last two terms

• Combine all terms into one group

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

• Multiply the terms by a constant

• Add a new term to the group

• Divide the terms by a constant

• Rearrange the terms and try grouping again

After factoring out the common terms in each group, what is the next step?

• Divide the factored terms

• Add the factored terms together

• Factor out the common binomial

• Multiply the factored terms