The easy way to factor a polynomial with four terms grouping

The video tutorial explains how to factor polynomials by grouping, focusing on cases with four terms. The instructor guides through the process of grouping terms, finding the greatest common factor (GCF), and verifying the results. The tutorial emphasizes the importance of obtaining the same expression inside the parentheses after factoring out the GCF, and provides a step-by-step demonstration of the method.

When should you consider using the factoring by grouping method?

• When the polynomial has two terms

• When the polynomial has three terms

• When the polynomial has five terms

• When the polynomial has four terms

What is the first step in the factoring by grouping method?

• Factor out the GCF from all terms

• Group the first two and last two terms

• Rearrange the terms randomly

• Divide each term by the highest coefficient

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

• Divide each term by the smallest coefficient

• Rearrange the middle terms and try again

• Add a constant to each term

• Multiply the terms by a common factor

Why is it important for the expressions inside the parentheses to be identical after factoring out the GCF?

• To ensure the polynomial is completely factored

• To confirm the polynomial is linear

• To make the polynomial easier to solve

• To verify the polynomial is quadratic

What is the final step in the factoring by grouping process?

• Multiply the factored terms

• Add the factored terms together

• Factor out the common expression

• Divide the polynomial by the GCF