Polynomial Division

When using long division, what term do you need to add to the dividend (2x³ + 5x² + 9)?

(2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

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

• 0
• 1
• 2
• 3

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.

• x+7

• x+2

• X-10

• X-7

• 2

• 2a

• 3a+1

• x+7

• 4x

• 21

• 2x-1

• 10x

• 2x² + 3x + 8 + -57/x-4

• 2x² - 13x - 56

• 2x² + 3x + 8 +7/x-4

• 2x² - 3x - 16 + -89/x-4

Which would be better to use?

• Long division
• Synthetic division

(2x³ + 7x² - 6x - 8) ÷ (x+ 4)

• 2x² - x - 2
• 2x³ - x² - 2x
• 2x² + 15x + 54 + 208/x+4
• 2x³ + 15x² + 54x + 208

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

• -2

• -6

• -12

• 4