Essay

Documenting Crate Volume Simplification for Warehouse Systems

At AeroParts Manufacturing, the volume of a custom shipping crate is represented by the polynomial expression 5x3+15x220x{}5x^3 + 15x^2 - 20x, where xx is a dimensional variable. To integrate this formula into the new automated warehouse inventory database, you are tasked with documenting the exact, step-by-step factoring procedure so that junior database operators can verify the calculations.

Write a brief instructional response that details the complete factoring process. Your response must recall and explicitly state:

  1. The Greatest Common Factor (GCF) of the three terms in the expression.
  2. The resulting expression after the GCF is factored out.
  3. The two specific numbers needed to factor the remaining trinomial, along with their product and sum.
  4. The final completely factored form of the polynomial expression.

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Updated 2026-06-17

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