Answer:
The remainder is: f(-1) = -4
Step-by-step explanation:
We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)
Given the function
[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]
It is stated that the function f(x) is divided by x + 1.
Thus, substituting x = -1 in the function to find the remainder f(-1)
i.e
f(-1) = (-1)⁴ - 5
f(-1) = 1 - 5
f(-1) = -4
Therefore,
The remainder is: f(-1) = -4