From \( f(-1) = 4 \):
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- Question:** Find the cubic polynomial \( f(x) \) such that \( f(-1) = 4 \), \( f(0) = 1 \), \( f(2) = 10 \), and \( f(3) = 19 \).
- Solution:** Let \( f(x) = ax^3 + bx^2 + cx + d \). Use the given conditions to form a system of equations.
- -a + b - c + d = 4 \quad \text{(1)}
- From \( f(0) = 1 \):
- d = 1 \quad \text{(2)}
