Free Printable Synthetic division

Worksheets

Synthetic division

Total questions: 15

Worksheet time: 4hrs 45mins

Name

Class

Date

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

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?

(2x³ + 5x² + 9)
÷
(x + 3)

2x² - x + 3

2x³ - x² + 3x

2x² + 11x + 33 + 108/x+3

2x² - 5x + 12

What is the remainder when a³ - 4 is divided by a+2?

-2

-6

-12

(2n²+15n-18)÷(n+9)

2n-3, R 9

2n-1, R 4

2n-6, R 6

2n-3, R 11

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

True

False

x³-3x²-10x+24
÷
x+3

x²-7x+5

x-8

x²-6x+8

x+9

(8b³+2b²-19b+19)÷(b-1)

8b²+10b-9, R 10

8b²+9b-7, R 15

8b²+9b-12, R 10

8b²+9b-11, R 13

10.

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

11.

(n³-11n²+17n+16)÷(n-3)

n²-8n-10, R -5

n²-8n-6, R -6

n²-8n-10, R -2

n²-8n-7, R -5

12.

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.

13.

(k²+7k-24)÷(k+10)

k-3, R 6

-2, R 11

-4, R 9

-1, R 4

14.

$\left(2x^5+5x^4-14x^3+17x^2-7x-3\right)\div\left(x-1\right)$ Is x-1 a factor of the polynomial?

Yes

15.

(5x³+36x²+45x+58)÷(x+6)

5x²+6x+9, R 4

5x²+9x+8, R 3

5x²+9x+8, R -1

5x²+8x+9, R 4

Reset

Synthetic division

Total questions: 15

Worksheet time: 4hrs 45mins

Similar Resources on Wayground