Short Answer

Factory Inventory Optimization: Factoring Production Models

You are working as an operations coordinator at a manufacturing plant. Your department uses the polynomial expression 5y315y2270y{}5y^3 - 15y^2 - 270y to model material waste, where yy represents the batch size. To simplify your database calculations, you need to completely factor this expression.

Based on the standard factorization process for this polynomial, state the following key components from memory:

  1. What is the Greatest Common Factor (GCF) that must be factored out first?
  2. What are the two constant numbers needed to factor the remaining quadratic trinomial?

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Updated 2026-06-01

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