1. **State the problem:** Evaluate the function $L(x) = -x^3 + 2x^2 - x - 1$ at $x = -1$ and $x = 3$.
2. **Recall the function:**
$$L(x) = -x^3 + 2x^2 - x - 1$$
3. **Evaluate at $x = -1$:**
$$L(-1) = -(-1)^3 + 2(-1)^2 - (-1) - 1$$
Calculate powers:
$$= -(-1) + 2(1) + 1 - 1$$
Simplify:
$$= 1 + 2 + 1 - 1$$
$$= 3$$
4. **Evaluate at $x = 3$:**
$$L(3) = -(3)^3 + 2(3)^2 - 3 - 1$$
Calculate powers:
$$= -27 + 2(9) - 3 - 1$$
Simplify:
$$= -27 + 18 - 3 - 1$$
$$= -13$$
**Final answers:**
$$L(-1) = 3$$
$$L(3) = -13$$
Evaluate Polynomial 37D2B8
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