Essay

Recalling the Setup for Synthetic Division in Cost Modeling

In your company's logistics department, a junior analyst is working on simplifying an operational cost-minimization function represented by the division problem (2x3+3x2+x+8)÷(x+2)({}2x^3 + 3x^2 + x + 8) \div (x + 2) using synthetic division. However, they are unsure of how to set up the synthetic division table correctly.

Write a short essay explaining the initial setup rules of synthetic division for this specific problem. Your response must recall and explicitly state:

  1. The constant value cc that must be placed in the divisor box, and a brief explanation of how it is determined from the divisor x+2x + 2.
  2. The sequence of coefficients extracted from the dividend 2x3+3x2+x+8{}2x^3 + 3x^2 + x + 8 to form the first row of the synthetic division table.
  3. The exact first step of the division calculation regarding the first coefficient once the table is set up.

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Updated 2026-06-17

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