Factoring Expressions and Grouping

This video tutorial explains how to factor a polynomial with four terms by grouping. It begins with identifying the greatest common factor (GCF) and factoring it out. The terms are then grouped into two sets, each of which is factored separately. The tutorial demonstrates how to ensure the grouped terms match, allowing for further factoring. The final answer is obtained by combining the factors, illustrating the complete process of factoring by grouping.

What is the first step in factoring by grouping?

• Divide each term by 2

• Add all terms together

• Identify the greatest common factor

• Multiply all terms by 3

What is the greatest common factor of the terms in the expression?

• 6

• 5

• 3

• 2

After dividing by the GCF, what is the coefficient of the first term?

• 3

• 6

• 9

• 12

What is the purpose of grouping terms in factoring?

• To simplify the expression

• To identify common factors

• To add terms together

• To multiply terms

What common factor is taken out from the blue group?

• 2x

• 3x

• x^2

• x

What is the result of dividing 6x^3 by 2x^2?

• 2x

• 3x

• x^2

• 6x

What is the expression obtained after factoring out the common factor from the blue group?

• x^2 + 11

• 6x^3 + 22x^2

• 2x^2 - 5

• 3x + 11

What factor is taken out from the red group?

• 10

• -10

• -5

• 5

What is the result of dividing -15x by -5?

• 3x

• -3x

• 5x

• -5x

What is the result of dividing -55 by -5?

• 13

• 12

• 11

• 10