Metadata
Mathematics Grade 9-12 Analyze Hard
View More
Metadata

  • Subject

    Mathematics

  • Education level

    Grade 9-12

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Hard

  • Tags

    polynomials, discriminant, parameter, roots, multiplicity, analysis

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess students' ability to determine how the number and multiplicity of real roots of polynomials depend on a real parameter. Tasks include applying discriminant criteria for quadratics, using derivative and factorization tests for repeated roots, solving parameter inequalities to classify root counts and multiplicities, and justifying case-split analyses.
Use
Remix
Export
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.