Essay

Documenting Quality Control Factoring SOPs

As a quality control supervisor in a manufacturing facility, you are drafting a Standard Operating Procedure (SOP) manual for junior operators. One of the primary calibration formulas used to monitor machine tolerance is represented by the algebraic expression 100x2y80xy+16y{}100x^2y - 80xy + 16y.

To ensure all technicians can verify calculations consistently, you must document the standard step-by-step factoring procedure. Write a brief SOP entry that recalls and clearly outlines the following four key steps:

  1. The greatest common factor (GCF) of the three terms and the expression after this factor is extracted.
  2. The specific binomial factoring pattern (such as perfect square trinomial or difference of squares) that the remaining trinomial fits.
  3. The values of aa and bb when matching the remaining trinomial to the standard pattern a22ab+b2a^2 - 2ab + b^2.
  4. The final, completely factored form of the formula.

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Updated 2026-06-18

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