Understanding Factoring and the Greatest Common Factor

What is the relationship between factoring and the distributive property?

• Factoring is the same as the distributive property.

• Factoring is the reverse of the distributive property.

• Factoring is a more complex form of the distributive property.

• Factoring and the distributive property are unrelated.

When factoring the expression 7x + 14, what is the greatest common factor?

• 7

• 21

• x

• 14

In the expression 16y - 24, what is the greatest common factor?

• 8

• 16

• 4

• 2

How do you determine the variable to factor out when all terms have variables?

• Factor out the variable with the largest exponent.

• Factor out the variable with the smallest exponent.

• Factor out the variable with the middle exponent.

• Factor out any variable present.

What is the greatest common factor of the expression 9a^2x - 27ax^3?

• 9ax

• 9a^2x

• 27ax^3

• 3ax

Can the greatest common factor be a polynomial?

• Yes, but only if it has two terms.

• No, it must be a monomial.

• No, it must be a constant.

• Yes, it can be a polynomial.

In the expression a(x + y) + 4(x + y), what is the greatest common factor?

• a + 4

• x + y

• 4

• a

What can you always factor out of any expression?

• A positive number

• A zero

• A one or negative one

• A negative number

How can you rewrite 2 - a to match a - 2?

• Factor out -1

• Multiply by 2

• Add 1

• Subtract 1

What is the result of factoring C(a - 2) - B(2 - a)?

• (2 - a)(C + B)

• (2 - a)(C - B)

• (a - 2)(C + B)

• (a - 2)(C - B)