Polynomial Long Division

What should you add to this problem?

(2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

Is this division problem worked correctly?

• This is correct!
• This is incorrect!

• 2x² + 3x + 8 + -57/x-4

• 2x² - 13x - 56

• 2x² + 3x + 8 +7/x-4

• 2x² - 3x - 16 + -89/x-4

(27x³ + 9x² - 3x - 10) ÷ (3x - 2)

• 9x⁴+5

• 9x²+9x+5

• 9x²-9x+5

• 9x²-9x

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

• -2
• -6
• -12
• 0