Zeros and multiplicity of a polynomial factoring by grouping

The video tutorial covers the concept of factoring polynomials, focusing on cases with four terms. It introduces the factoring by grouping technique, explaining how to group terms and factor out common elements to simplify expressions. The tutorial demonstrates the process step-by-step, emphasizing the importance of making parentheses identical for successful factoring. It concludes with finding zeros and a brief recap of the method.

Why can't the same method used for factoring trinomials be applied to expressions with four terms?

• Because four terms don't have a common factor

• Because the method only works for quadratic equations

• Because the process requires a different approach

• Because four terms always result in a prime expression

What is the technique called that is used for factoring expressions with four terms?

• Factoring by elimination

• Factoring by division

• Factoring by grouping

• Factoring by substitution

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

• Find the greatest common factor of all terms

• Group the first two terms and the last two terms

• Combine all terms into a single expression

• Rewrite the expression as a trinomial

Why is it important to make the parentheses the same in the factoring by grouping method?

• To convert the expression into a trinomial

• To allow the common factor to be factored out

• To ensure the expression is a perfect square

• To simplify the expression

What are the zeros of the expression after factoring by grouping?

• 2 and -2

• 0 and 2

• -2 and 1

• 1 and -1