Introduction to Synthetic Division of Polynomials

Identify the missing term to complete the solution.

• 28

• 38

• 48

• 58

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 answer for the following problem?

Identify the missing term to complete the solution.

• -2

• 2

• -3

• 3

(x²+4x-45)⁄(x+9) (use synthetic division)

• x+5

• -x+5

• -x-5

• x-5

(2x⁴-7x³+14x²-55x+21)

___________________________

(2x-7)

use synthetic division

• x²+7x-3

• 2x³+14x-6

• x²-7x+6

• 2x³+7x-3

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

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0