6.6: Factoring GCF's Review

6.6: Factoring GCF's Review

Multiple Choice

Factor out the GCF:

 $6e^6+18e^4-24e^3+3e^2$  

•  $3e^2\left(2e^4+6e^2-8e\right)$  

•  $3e^2\left(3e^3+15e^2-21e\right)$  
  

•  $3e^2\left(3e^4+15e^2-21e+1\right)$  

•  $3e^2\left(2e^4+6e^2-8e+1\right)$  

Multiple Choice

Factor out the GCF:

 $4w^3+4w^2-28w$  

•  $2w\left(2w^2+2w-14\right)$  

•  $4w\left(w^2+w-7\right)$  
  

•  $4w\left(w^2+w-24\right)$  

•  $w\left(4w^2+4w-28\right)$  

Multiple Choice

Factor out the GCF:

 $4m^5+16m^3+24m$ 

•  $4m\left(m^4+12m^2+20\right)$  

•  $2m\left(2m^4+8m^2+12\right)$  
  

•  $2m\left(2m^4+14m^2+22\right)$  

•  $4m\left(m^4+4m^2+6\right)$  

Multiple Choice

Factor out the GCF:

 $27ac^3+6ac^2-18a$  

•  $3a\left(9c^3+2c^2-6\right)$  

•  $3\left(9ac^3+2ac^2-6a\right)$  
  

•  $3ac\left(9c^2+2c-6\right)$  

•  $3c\left(9ac^2+2ac-6a\right)$  

Multiple Choice

Factor out the GCF:

 $12m^3+8n^2$  

•  $8\left(4m^3+n^2\right)$  

•  $2\left(6m^3+4n^2\right)$  
  

•  $4\left(3m^3+2n^2\right)$  

•  $6\left(6m^3+2n^2\right)$  

Multiple Choice

What is the GCF of this polynomial?

12t³ + 30t² + 48t

• 12t

• 6t³

• 6t

• 12t³

Multiple Choice

Factor out the GCF:

7w³ - 14w

• 7w(w² - 2)

• 7w(w² - 2w)

• 7w(w - 2)

• 7w(w + 2)

Multiple Choice

Factor out the GCF

18x³ + 81x - 27

• 9x (2x² + 9x - 3)

• 3 (6x³ + 27x - 9)

• 9 (2x³ + 9x - 3)

• 9 (2x² + 9x - 3)

Multiple Choice

Factor out the GCF:

10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Multiple Choice

Factor out the GCF:

63x⁴ - 7x² + 28x

• 7x(9x² - 7 + 4x)

• x(63x³ - 7x + 28)

• 7x(9x³ - x + 4)