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

Explanation

To find the remainder when the polynomial \( P(x) = x^4 + x^3 - 2x^2 + x + 1 \) is divided by \( x - 1 \), we can use the Remainder Theorem. According to the Remainder Theorem, the remainder of the division of a polynomial \( P(x) \) by \( x - c \) is equal to \( P(c) \).

### Step-by-Step Solution:

1. **Identify the polynomial and the divisor:**
- The polynomial is \( P(x) = x^4 + x^3 - 2x^2 + x + 1 \).
- The divisor is \( x - 1 \).

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