Answer
Remainder is equal to 0
Work Step by Step
The question asks for the remainder of the polynomial Q(x) divided by a first-degree polynomial.
Given $Q(x) = x^{101} - x^4 + 2$ and $x+1$
By remainder theorem, dividing this polynomial by (x-c) is equivalent to P(c)
Thus substitute Q(-1) into the equation
$Q(-1) = (-1)^{101} - (-1)^4 + 2 = 0 $
Thus the remainder is 0
