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Training Documentation: Simplifying Cost Formulas
You are a team lead at a financial services firm, and you are creating a training guide for new associates on how to simplify internal cost formulas. One example used in the guide is the expression $4x + 12$. Describe the standard four-step procedure for factoring this specific expression by extracting the Greatest Common Factor (GCF). Your response should include the identification of the GCF for these terms, the intermediate step of rewriting the terms as products, the final factored form, and the method used to verify the accuracy of the factoring.
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Ch.7 Factoring - Elementary Algebra @ OpenStax
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Training Documentation: Simplifying Cost Formulas
An inventory manager is auditing a supply spreadsheet where the expression $4x + 12 was simplified to $4(x + 3) for better readability. To verify that both expressions represent the same total quantity, the manager uses a specific mathematical property to multiply the 4 by both the 'x' and the '3'. What is the name of this property?
A technical support specialist is following a maintenance manual to simplify a performance formula: $4x + 12. The manual lists the prime factors of each term as $4x = 2 \cdot 2 \cdot x and $12 = 2 \cdot 2 \cdot 3$. Based on these lists, which specific factors are identified as being 'common' to both terms?