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  • Polynomials and Factoring

Browse by Grade & Topic: Polynomials and Factoring

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Addition and Subtraction of Functions

Explore the graphs of two polynomials and the graph of their sum or difference. Vary the coefficients in the polynomials and investigate how the graphs change in response.

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Addition of Polynomials

Add polynomials using an area model. Use step-by-step feedback to diagnose any mistakes.

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Factoring Special Products

Choose the correct steps to factor a polynomial involving perfect-square binomials, differences of squares, or constant factors. Use the feedback to diagnose incorrect steps.

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Modeling the Factorization of ax2+bx+c

Factor a polynomial with a leading coefficient greater than 1 using an area model. Use step-by-step feedback to diagnose any mistakes.

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Modeling the Factorization of x2+bx+c

Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step-by-step feedback to diagnose any mistakes.

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Dividing Polynomials Using Synthetic Division

Divide a polynomial by dragging the correct numbers into the correct positions for synthetic division. Compare the interpreted polynomial division to the synthetic division.

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Graphs of Polynomial Functions

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Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end...

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Polynomials and Linear Factors

Create a polynomial as a product of linear factors. Vary the values in the linear factors to see how their connection to the roots of the function.

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Graphs of Polynomial Functions

FREE with no time limit!

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end...

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Start teaching with 20-40 Free Gizmos. See the full list.

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About STEM Cases

Students assume the role of a scientist trying to solve a real world problem. They use scientific practices to collect and analyze data, and form and test a hypothesis as they solve the problems.

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Each STEM Case uses realtime reporting to show live student results.
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STEM Cases take between 30-90 minutes for students to complete, depending on the case.

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Student progress is automatically saved so that STEM Cases can be completed over multiple sessions.

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Multiple grade-appropriate versions, or levels, exist for each STEM Case.

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Each STEM Case level has an associated Handbook. These are interactive guides that focus on the science concepts underlying the case.

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© 2025 ExploreLearning. All rights reserved. Gizmo and Gizmos are registered trademarks of ExploreLearning. STEM Cases, Handbooks and the associated Realtime Reporting System are protected by US Patent No. 10,410,534

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Find Gizmos
  • FREE Gizmos
  • NEW Releases
  • STEM Cases
  • Browse by Standard
  • Browse by Grade & Topic
  • Browse by Core Curriculum
About Gizmos
  • What's a Gizmo?
  • About STEM Cases
  • What are Gizmos Investigations?
  • Take a Tour
  • Supporting All Students
  • How to Get Gizmos
  • Testimonials
  • K-5 Science
Research
  • The Impact of Gizmos on Student Achievement
  • The Research Behind Gizmos
Support
  • Professional Development Overview
  • Meet the Team
  • Course Catalog
  • Help Center
  • Site Status
Resources
  • Popular Gizmos Collections
  • Educator Resource Hub
  • Success Stories
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© 2025 ExploreLearning. All rights reserved. Gizmo and Gizmos are registered trademarks of ExploreLearning. STEM Cases, Handbooks and the associated Realtime Reporting System are protected by US Patent No. 10,410,534

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