GCF of Polynomials

The GCF of 20x²y² + 40xy² is ​ (a)   ​

• 20xy²
• 10xy
• 5x²y
• 40xy²
• 10x²y
• 10xy²
• 20x²y²
• 20x²

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

What is the greatest common factor of the monomials a²b⁵ and a³b³

• a²b³
• a²b⁵
• a³b³
• a³b⁵

What is the GCF of 18k and 15k³

• 3k²
• 3k³
• 3k
• 5k

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 Mrs Peterson said so

• 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

Factor:

56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor:
 2n²-8n³

• 2n²(1-4n)

• -2n²(-1+4n)

• 2n³(10-8n²)
• 3n(1-4n)

Factor:
2n³+16n+12

• 2n(n³+24n+6)
• 2(n³+8n+6)
• 2n(n³+8n+6)
• 3(n³+8n+6)

Factor
12x + 9

• 3(4x + 3)
• x(12+9)
• 3(4x - 3)
• not factorable