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1. **Rewrite the Polynomial**: First, you need to rewrite the polynomial in its nested form. For the general polynomial `P(x) = a₀ + a₁x + a₂x² + ... + aₙxⁿ`, the nested form is `P(x) = a₀ + x(a₁ + x(a₂ + ... + x(aₙ)))`. This transformation is key to the efficiency of the method. The rewritten format is essential for **Horner's Scheme** to work effectively. This rearrangement is the backbone of the algorithm, making the subsequent steps straightforward. Ensure all powers of 'x' are accounted for, including those with zero coefficients. This ensures that the polynomial is correctly structured for the scheme.
