In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
x^3 + x^2 - 11x + 4=0
(x+4)
Step 02:
synthetic division
x = - 4
-4 | 1 1 -11 4
| -4 12 -4
______________
1 -3 1 0
the remainder is 0
x² - 3x + 1
The answer is:
x² - 3x + 1