Synthetic Division

What should be the order of the polynomial coefficients if $\frac{3x-4x^3+6x^4+1}{x+3}\$  ?

• 3  0  -4  6  1

• 6  -4  3  1  0

• 6  -4  0  3  1

• -6  4  0  -3  -1

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0
• 2
• 4
• 6

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.

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

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

Which term is missing from the dividend in this problem?

(2x³ + 5x² + 9) ÷ (x + 3)

• x⁴

• x³

• x²

• x

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9
• 3x² - 3x + 8 - 9/x+1
• 3x² + 3x + 8 + 7/x+1
• 3x³ + 3x² + 8x + 7

What should be the order of the polynomial coefficients if $\frac{2x^2+5x+6x^4+1}{x-8}\$  ?

• 2  5  6  1  

• 2  5  6  1  0  
  

• 6  2  5  1  0

• 6  0  2  5  1