Test: GCF and Factoring by Grouping of Polynomials

Factoring reverses the process of what?

• Division
• Multiplication
• Addition
• Subtraction 

The greatest common factor (GCF) of 48 and 36 is

(a)  

What is the greatest common factor of 10b² and 10?

• 2
• 5
• 10
• 10b

What is the greatest common factor of 20a²b² and 50b³?

• 100a²b²
• 10b³
• 10ab²
• 10b²

Factor:
x² - 5x

• 1(x - 5)
• x(x - 5x)
• x(x - 5)
• x²(1 - 5)

Factor:
 2n²-8n³

• 2n²(n-4n²)
• 2n²(1-4n)
• 2n³(10-8n²)
• 3n(1-4n)

Factor by GCF:

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• Prime

Factor
10x² + 15x-5

• 25(10x³+45x-15)
• 5(2x³ + 3x²-x)
• x(10x³+15x-5)
• 5(2x²+3x-1)

Factor 4y³ + y + 12y² + 3 by grouping. Remember to look for common factors first.

• 4y²(y + 3) + 3

• 4y³ + 12y² + y + 3

• (4y² + 1)(y + 3)

Factor 2x² + 4x – 3x – 6 by grouping. Remember to look for common factors first.

• (2x – 3)(x + 2)

• 2x² + x - 6

• (2x + 3)(x - 2)