Polynomial Division

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

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

(m³-7m²-24m-62)÷(m-10)

• m²+3m+6, R 2

• m²+3m+4, R -4

• m²+3m+6, R -2

• m²+3m+3, R 1

(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

(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

What should you add to this problem?

(2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

What is the proper way to write the answer for the following problem? 

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0

Which binomial is a factor of
f(x)= x³ + x² -24x +36?

• x + 2

• x + 3

• x + 6

• x + 9