Question

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

Answer 1

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