Find the remainder when `x^4+x^3-2x^2+x+1` is divided by `x-1`.

Explanation

To find the remainder when \( x^4 + x^3 - 2x^2 + x + 1 \) is divided by \( x - 1 \), we can use the Remainder Theorem. Here’s the step-by-step solution:

### Step 1: Identify the divisor
The divisor is \( x - 1 \). According to the Remainder Theorem, to find the remainder of a polynomial \( P(x) \) when divided by \( x - c \), we can evaluate \( P(c) \).

### Step 2: Set the divisor equal to zero
To use the Remainder Theorem, we first set the divisor equal to zero:
\[
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