Polynomial Division

(x³-8x²+6x+41)÷(x-4)

• x²-4x-7, R 2

• x²-4x-11, R 1

• x²-2x-12, R 3

• x²-4x-10, R 1

Which would be better to use?

• Long division

• Synthetic division

Divide.

• (x + 4)/(x + 3)

• x + 5

• x + 4  R 5

• x + 4 R -5

(2x³ + 5x² + 9)
÷
(x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² + 11x + 33 + 108/x+3

• 2x² - 5x + 12

(2x³ - 5x - 7)
÷
(x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

(2x³ - 5x - 7)
 ÷
 (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

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

• 0

• 1

• 2

• 3

(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

x³-3x²-10x+24
 ÷
 x+3

• x²-7x+5

• x-8

• x²-6x+8

• x+9

-2x²+4x+48
 ÷
x+4

• -2x+12

• 2x+12

• -4x+9

• 4x+9