Synthetic Division

For synthetic division, what number would you write on the left side of the problem? (What number are you "dividing by"?)

• 0

• 1

• 2

• 3

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

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

• True
• False

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.

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

• yes
• no

Let f(x) = 4x² -33x -27.  Is k = 9 a zero of the function?

• yes
• no

(2x³ + 5x² + 9) ÷ (x + 3)

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

(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

Use synthetic division to determine if x + 4 a factor of (2x³ + 7x² - 6x - 8).

• Yes, because there is no remainder

• No, because there is no remainder

• Yes, because there is a remainder of 208

• Yes, because there is a remainder of -48