Factor Greatest Common Factor

Which of the following is a good definition for the Greatest Common Factor of a polynomial?

• The constants and variables that are the smallest

• The constants and variables that are the largest

• The largest combination of constants and variables you can "pull out" of a polynomial

• The common factor that is the greatest

Why do we need to find the GCF of polynomials? Choose the BEST option.

• Because of your sins

• To simplify the polynomials as much as possible before working with them

• To get rid of stuff

• Because the GCF makes the problem impossible to solve

What is the GCF of 18k and 15k³

• 3k²

• 3k³

• 3k

• 5k

Factor
12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

Factor: 56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Factor:
2n³+16n+12

• 2n(n³+24n+6)

• 2(n³+8n+6)

• 2n(n³+8n+6)

• 3(n³+8n+6)

Factor
5ab²c¹¹ + 2bc⁵

• bc⁵(5ab²c⁶ + 2b)

• bc⁵(5abc⁶ + 2)

• b²c⁵(5bc⁶ + 2)

• c4(5a²b²c⁷ + 2bc)

factor 10x²y – 30xy²

• xy(10 - 30)

• 10xy(x - 3y)

• 10x²y(3y)

• 10xy²(x)

List all the factors of 12

• 1, 2, 3, 4, 6, 12

• 1, 2, 4, 12

• 1, 12

• 1, 2, 3, 4, 5, 6, 12