Factoring Part I

What is the greatest common factor of the polynomial 14x²y – 28xy² + 56x²y² ?

• 7xy

• 7x²

• 14xy

• 7x²y²

All are factors of -72a EXCEPT for which one?

• 9 and -8a

• -4a and 18

• -3a and 24

• 72 and a

Which of the following expressions has a greatest common monomial factor of 2y?

• 9xy – 2y

• 8xy – 4y

• 4xy – 2y

• 3xy – 4y

Which of the following polynomials have no common monomial factor?

• 6x² – 5x

• 9x + 12y

• ab²­­+ a²b

• 5x – 7y

If the greatest common monomial factor of 25y + 10y² – 5y³ is 5y, what then is the remaining factor?

• 5y + 2y² – y³

• 5 + 2y – y²

• 25 + 10y – 5y²

• 20 + 5y – y²

What is the correct factored form of 16a³b - 8a²y ?

• 8a (2a²b - ay)

• 8a² (2ab - y)

• 2ab (8a² - 4a)

• 4a (4a²b - 2ay)

Which common binomial factor can be factored out in the expression x (x – 2) – 4 (x – 2)?

• x - 4

• x + 2

• x - 2

• x + 4

What is the other binomial factor of 2x (y – 1) + y (1 – y) after its common binomial factor has been factored out?

• 2x - y

• 2x + y

• y - 1

• y + 1

One of the factors of the polynomial ab + 2a + b + 2 is (a + 1), what is its other factor?

• b - 1

• b + 1

• b + 2

• b - 2

What are the factors of 2b + 2 + 3by + 3y?

• (2y + 3) and (b + 1)

• (b + 2) and (3y + 1)

• (b + 1) and (2 + 3y)

• (2b + 1) and (3y + b)