What is the remainder when (4x3 + 2x2 - 18x + 38) : (x + 3) ?

A2

B96

C12

D110

Answer: A

Step-by-step explanation: I use synthetic division for problems like these:

-3 | 4 2 - 18 38

4 - 10 12 2

Since - 3 + 3 = 0, we use - 3 in this process. Write out the coefficients in order separate from - 3. Next, bring down the 4 and multiply - 3 by 4 = - 12. Add 2 and - 12 = - 10. Multiply - 10 by - 3 = 30. Add 30 to - 18 to get 12. Multiply 12 and - 3 = - 36. Add - 36 and 38 = 2