Polynomial Division

(2x³ + 7x² - 6x - 8) ÷ (x+ 4)

• 2x² - x - 2
• 2x³ - x² - 2x
• 2x² + 15x + 54 + 208/x+4
• 2x³ + 15x² + 54x + 208

Tags

CCSS.HSA.APR.D.6

Which would be better to use?

• Long division
• Synthetic division

Tags

CCSS.HSA.APR.D.6

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• $2x^2+11x+33+\frac{108}{x+3}$

• 2x² - 5x + 12

Tags

CCSS.HSA.APR.D.6

 $\left(x^2+2x-63\right)\div\left(x+9\right)$  

• x - 7

• x² - 7

• x + 7

• x² + 3x - 54

Tags

CCSS.HSA.APR.D.6

 $\left(2x^3-5x^2-4x-25\right)\div\left(x-4\right)$  

•  $2x^2+3x+8+\frac{-57}{x-4}$  
  

•  $2x^2-13x-56$  
  

•  $2x^2+3x+8+\frac{7}{x-4}$  
  

•  $2x^2-3x-16+-\frac{-89}{x-4}$  
  

Tags

CCSS.HSA.APR.D.6

 $\left(3x^3−10x^2+2x+8\right)\div\left(3x-4\right)$  
Hint: this one is probably best with long division.

•  $x^2-2x-2$  

•  $3x^2-10x+2+\frac{8}{3x-4}$  

•  $x^2+x-2+\frac{3}{3x-4}$  

•  $x^2+2x+2$  

Tags

CCSS.HSA.APR.D.6

What is the proper way to write the answer for the following problem?

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

Tags

CCSS.HSA.APR.D.6

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

Tags

CCSS.HSA.APR.D.6

(4a + 2)(6a² − a + 2)

• 24a³ + 16a² + 6a + 4
• 24a³ + 8a² + 10a + 4
• 24a³ + 8a² + 6a + 4
• 24a³ - 8a² - 6a + 4

Tags

CCSS.HSA.APR.A.1