Factor an expression by using grouping

The video tutorial explains the process of factoring expressions, focusing on different techniques such as finding the greatest common factor (GCF) and the grouping technique. The instructor guides students through the steps of factoring a four-term expression using the grouping method, emphasizing the importance of writing the entire expression as a product of factors. The lesson concludes with a summary and an invitation for questions.

What is the primary goal when factoring an expression?

• To find the derivative of the expression

• To write the expression as a product of its factors

• To write the expression as a sum

• To simplify the expression

Why can't the Greatest Common Factor (GCF) method be used in this problem?

• Because the expression is a polynomial

• Because the expression has more than three terms

• Because the terms do not share a common factor

• Because the expression is already simplified

What technique is introduced for factoring expressions with four terms?

• The substitution method

• The quadratic formula

• The grouping technique

• The trinomial method

In the grouping technique, what is the first step?

• Divide the expression by a common factor

• Group the first two and last two terms

• Factor out the GCF from all terms

• Rewrite the expression as a sum

What is the final form of the expression after applying the grouping technique?

• A difference of squares

• A single term

• A product of two factors

• A sum of two products