Polynomial Division Practice

Factor:   x³ + 1

• (x + 1)³
• (x+1)(x² - x + 1)
• (x - 1) (x² + x - 1)
• (x + 1)(x² - 2x + 1)

x³ - 27

• (x - 4)(x² + 4x + 16)
• (x + 3)(x² - 4x + 16)
• (x - 1)(x² + 1x + 1)
• (x - 3)(x² + 3x + 9)

Factor this sum of cubes:

2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

What is the proper way to rewrite the answer for the following synthetic division problem?

• $2x^3-x^2-25x+12$

• $2x^4-x^3-25x^2-12x+0$

• $2x^3-x^2-25x-12$

• $2x^4-x^3-25x^2-12x-0$

Divide the following polynomials: (2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² + 11x + 33 + 108/x+3

• 2x² - 5x + 12

Find the quotient :   $\frac{2x^3-5x^2-4x-25}{x-4}$  

•  $2x^2+3x+8-\frac{57}{x-4}$  
  

•  $2x^2-13-56$  

•  $2x^2+3x+8+\frac{7}{x-4}$  

•  $2x^2-3x-16-\frac{89}{x-4}$  

Divide: (2x³ + 5x² + 9) ÷ (x + 3)

*Watch out for missing terms.

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² + 11x + 33 + 108/x+3

• 2x² - 5x + 12

What is the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?

*Remember you can use the remainder theorem.

• -25

• 25

• 113

• -113

• This is correct

• This is incorrect

Is this division problem worked correctly?

• This is correct!

• This is incorrect!