Dividing Polynomials

Which would be better to use here?

• Long division
• Synthetic division

Tags

CCSS.HSA.APR.D.6

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

• 0
• 1
• 2
• 3

Tags

CCSS.HSA.APR.D.6

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

Tags

CCSS.HSA.APR.D.6

Divide using synthetic division

(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4 - 12/(x + 3)

• 2x² - 2x + 6 - 23/(x + 3)

• 2x² - 2x + 8 - 20/(x + 3)

• 2x² - 4x + 1

Tags

CCSS.HSA.APR.D.6

Divide (4x³ - 2x² - 3) by (2x² - 1).

• 2x - 1 + (2x - 4)/(2x² - 1)

• 2x + 3 + (x - 3)/(2x² - 1)

• 2x - 1

• 2x + 3 + (3x-5)/(2x² - 1)

Tags

CCSS.HSA.APR.D.6

Divide (x³ + 3x² - 4x - 12) by (x² + x - 6)

• x - 2

• x⁵ + 6

• x + 2

• x² + 2

Tags

CCSS.HSA.APR.D.6

Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4  R(-12)
• 2x² - 2x + 6  R(-23)
• 2x² - 2x + 8  R(-20)
• 2x² - 4x + 1  R0

Tags

CCSS.HSA.APR.D.6

(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

Tags

CCSS.HSA.APR.D.6

(8p³-38p²-17p+43)÷(p-5)

• 8p²+2p-7, R 8

• 8p²+p-9, R 9

• 8p²+p-5, R 13

• 8p²+p-10, R 4

Tags

CCSS.HSA.APR.D.6

 $\left(3n^2\ -\ 4n\ -\ 6\right)\ \div\ \left(2n\ +\ 2\right)$  

• 3n - 2

• n + 2

• 2n - 3

• n - 3

Tags

CCSS.HSA.APR.D.6