Learn how to factor a polynomial with four terms by grouping

The video tutorial demonstrates how to factor a polynomial expression using the grouping method. It begins by identifying the four terms in the expression and grouping them into pairs. The instructor explains how to find the greatest common factor (GCF) for each group and factor it out. By simplifying the expression, the same terms are identified within the parentheses, allowing further factoring. The tutorial concludes with the expression written as a product of its factors, showcasing the effectiveness of the grouping method.

What is the first step in factoring by grouping?

• Combine all terms into one group

• Group the first two terms and the last two terms

• Factor out the largest number from all terms

• Multiply all terms together

When factoring the first group, what common factor is identified?

• 8y^2

• 9

• 4y^3

• 4y^2

What is the result of dividing 8y^2 by 4y^2?

• 2

• y

• 4

• y^2

Why is a negative 9 factored out in the second group?

• To simplify the expression

• To increase the power of y

• To match the expression y + 2

• To eliminate the y term

What is the final expression after factoring by grouping?

• (y - 2)(4y^2 + 9)

• (4y^2 + 9)(y - 2)

• (4y^2 - 9)(y - 2)

• (y + 2)(4y^2 - 9)