Answer: k + 24
Step-by-step explanation:
1) I will use synthetic division
2) Write the coefficients of the dividend keeping the decreasing order of the exponents of x.
1 3 - 10 + k
3) dividing by x + 4 => run the synthetic division with x = - 4
4) division
| 1 3 -10 +k
|
-4 | -4 + 4 +24
-------------------------------------
1 -1 - 6 k + 24
The last number is the remainder: k + 24