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  • Adding (5y2−3y+15)+(3y2−4y−11)(5y^2 - 3y + 15) + (3y^2 - 4y - 11)(5y2−3y+15)+(3y2−4y−11)

Case Study

Logistics Capacity Model Consolidation

Based on the standard three-step procedure for adding polynomials, identify the three specific groups of 'like terms' found in these models and name the mathematical property that justifies rearranging these terms so that they are adjacent to one another.

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Updated 2026-09-17

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OpenStax

Elementary Algebra @ OpenStax

Ch.6 Polynomials - Elementary Algebra @ OpenStax

Algebra

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Related
  • Merging Project Resource Models

  • Standardized Procedural Documentation for Polynomial Model Integration

  • Identify the constant terms in the polynomials (5y2−3y+15)(5y^2 - 3y + 15)(5y2−3y+15) and (3y2−4y−11)(3y^2 - 4y - 11)(3y2−4y−11).

  • Arrange the steps in the correct order to add the polynomials (5y2−3y+15)(5y^2 - 3y + 15)(5y2−3y+15) and (3y2−4y−11)(3y^2 - 4y - 11)(3y2−4y−11).

  • Match each set of like terms from the sum (5y2−3y+15)+(3y2−4y−11)(5y^2 - 3y + 15) + (3y^2 - 4y - 11)(5y2−3y+15)+(3y2−4y−11) to their combined result.

  • Why are the terms −3y-3y−3y and −4y-4y−4y considered like terms?

  • When combining the like terms 5y25y^25y2 and 3y23y^23y2, you add the exponents to get a result of 8y48y^48y4.

  • Add (5y2−3y+15)(5y^2 - 3y + 15)(5y2−3y+15) and (3y2−4y−11)(3y^2 - 4y - 11)(3y2−4y−11). The coefficient of the yyy-term in the simplified sum is _____.

  • Which property lets you reorder terms to place like terms together?

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