Synthetic Division - basics

If dividing a polynomial by (x + 4) using synthetic division, what number should be used in the left hand box?

• 1

• 4

• 0

• -4

If dividing a polynomial by (x + 6) using synthetic division, what number should be used in the left hand box?

• 6

• -6

• 0

• -4

If dividing a polynomial by (x - 5) using synthetic division, what number should be used in the left hand box?

• 5

• -6

• -5

• -4

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

• 0
• 1
• 2
• 3

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 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

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

• True
• False

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

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.