Factoring by Grouping Quiz

What is the first step in factoring by grouping?

• Identify the common binomial

• Group the first two terms

• Subtract the last term

• Multiply all terms by the GCF

In example 12, what is the GCF of the first group?

• 8x

• 7x squared

• 8x squared

• 7x

Why is subtraction changed to adding a negative in factoring?

• To simplify the expression

• To make factoring easier

• To change the sign of the terms

• To eliminate the need for a GCF

In example 14, what is the GCF of the first group?

• 7R squared

• 7R

• 8R squared

• 8R

How do you handle multiple variables in factoring by grouping?

• Ignore them

• Factor them separately

• Include them in the GCF

• Add them to the common binomial

In example 16, what is the GCF of the first group?

• 6M

• N squared

• 6N

• 6M squared

What is the GCF of the first group in example 17?

• 7x

• 7y

• 3x squared

• 3x

In example 18, what is the GCF of the second group?

• 8C

• 5A

• 4B

• 5B

What is the common binomial in example 19?

• 4B + 5X

• 3C + D

• 4B - 5X

• 3C - D

What should you do after identifying a common binomial?

• Multiply it by the GCF

• Factor it out

• Add it to the expression

• Subtract it from the expression