Factoring: GCF and Grouping

Identify the GCF.

64g² - 8g

• 8g²

• 8g

• 4g

• 4g²

Which expression models the correct factorization?

28r + 20r² + 32r⁶

• r² (28r + 20r² +32r⁶ )

• 4r² (14 + 10r + 16r⁵)

• 6 (14r + 10r² + 16r⁶)

• 4r (7 + 5r + 8r⁵)

Factor:

2n²- 8n³

• 2n²(n - 4n²)

• 2n²(1- 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)

What is the greatest common factor of 42xy² and 28x³y?

• 84x³y²
• 14y
• 14xy
• 14xy²

Factor:

30x³+15x²-18x-9

Hint: Look for a GCF first.

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Is (x-3) a factor of 3x³+10x²-x-12?

• Yes, it is a factor

• No, it is not a factor

• It cannot be determined.

Factor:

21xy - 8

• 3(7xy - 5)

• 2(11xy - 4)

• Prime

• x(21y - 8)

Select all of the correct factors:

xa + ya + x + y

• (x +1)

• (x + y)

• (a + 1)

• (y + 1)

• (x + a)

Which step is wrong when the polynomial is factored by grouping?

• Step 1

• Step 2

• Step 3

• All of the above.

Factor the polynomial by grouping:

3x³ - 3x² + x - 1

• (x² + 1)(3x + 1)

• (3x² + 1)(x - 1)

• (3x - 1)(x² - 1)

• (3x + 1)(x² - 2)