Factoring $12x - 60$

Factoring $4y^2 + 24y + 28$

Factoring $5x^3 - 25x^2$

Factoring with a Negative Leading Coefficient

Factoring $-8y - 24$

Factoring $-6a^2 + 36a$

Factoring by Grouping

Factoring $xy + 3y + 2x + 6$

Factoring $x^2 + 3x - 2x - 6$

An operations analyst is streamlining a production cost formula to identify shared expenses. To correctly factor the Greatest Common Factor (GCF) from the cost polynomial, in what order should the following steps be performed?

A logistics coordinator is simplifying a shipping cost formula by factoring out the greatest common factor (GCF). Arrange the standard steps for factoring the GCF from a polynomial in the correct order.

A budget analyst is simplifying a departmental expense formula, $15x + 15y, to identify a shared hourly rate. By rewriting the expression as $15(x + y), the analyst is applying which mathematical property in reverse?

A business analyst is simplifying a revenue formula to identify shared cost drivers across different departments. Match each mathematical term or process with its correct role in the procedure of factoring out the Greatest Common Factor (GCF).

A payroll specialist is simplifying a bonus calculation formula: 50h + 50b. After factoring the expression as 50(h + b), the specialist wants to verify the result. According to the standard procedure for factoring the Greatest Common Factor (GCF), the specialist should check the work by distributing the 50 back through the parentheses to ensure the product matches the original formula.

Procedural Steps for Factoring Overhead Costs

Optimizing Assembly Line Output Formulas

A data analyst is simplifying a revenue calculation by identifying the greatest common factor (GCF) shared by all terms. This procedural step is mathematically defined as the reverse of __________ a polynomial by a monomial.

Standard Operating Procedure for Factoring Shared Resource Costs

A production analyst is simplifying a formula to identify shared manufacturing costs across multiple assembly lines. According to the standard procedure for factoring the Greatest Common Factor (GCF) from a polynomial, which method is recommended to identify the largest expression that divides evenly into every term?

Factoring $8x^3y - 10x^2y^2 + 12xy^3$

Factoring $3y(y + 7) - 4(y + 7)$

General Strategy for Factoring Polynomials

Binomial Greatest Common Factor

Factoring $15x^3y - 3x^2y^2 + 6xy^3$

Factoring $8a^3b + 2a^2b^2 - 6ab^3$

Simplifying a Trinomial by Factoring the GCF to Reveal a Leading Coefficient of 1

Factoring a Negative Greatest Common Factor