Synthetic Division

The answer to a division problem is known as the...?

• product
• sum
• difference
• quotient

What number goes in the yellow area?

• 9

• -9

• 6

• -6

• 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 (missing terms) would you need when setting up the top row of your synthetic division?

• 0
• 2
• 4
• 6

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9
• 2x² - x + 1

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.

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² - 5x + 12

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

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

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

(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