Dividing Polynomials

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

• 3x³ - 5x² - 2x + 8
• 3x² + x - 6
• 3x² - 5x - 2 + 8/x+1
• 3x³ + x² - 6x

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

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

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

4x⁴+4x³-9x²-x+2 ÷ x-1

• 4x³+8x²-7x-2
• 4x³+19x²-x-2
• 4x³+8x²-x-9
• 4x³+8x²-x-2

For synthetic division, what would be the number in the left hand box?

• 0
• 1
• 2
• 3

x³-3x²-10x+24 ÷ x+3

• x²-7x+5
• x-8
• x²-6x+8
• x+9

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.

Solve using long division.  $\left(x^2+2x\ -\ 63\right)\div\left(x+9\right)$  

•  $x-7$  

•  $x^2-7$  

•  $x+7$  

•  $x^2+3x-54$  

Solve using long division. $\left(8x^2+6x-20\right)\div\left(4x-5\right)$  

•  $2x-4$  

•  $2x+4$  

•  $2x-1-\frac{16}{4x-5}$  

•  $2x-4-\frac{40}{4x-5}$ 

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• $2x^2-x+1+\frac{9}{x-2}$

• $2x^2-9x-15-\frac{23}{x-2}$