Metadata
Mathematics Grade 9-12 Evaluate Hard
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Metadata

  • Subject

    Mathematics

  • Education level

    Grade 9-12

  • Cognitive goals

    Evaluate

  • Difficulty estimate

    Hard

  • Tags

    root-finding, polynomials, bisection, Newton-Raphson, secant, convergence

  • 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 compare the bisection, Newton–Raphson, and secant methods for solving polynomial equations: state and justify theoretical convergence rates and error behavior; perform a few iterations with given polynomials and initial guesses to compute errors and empirical order; analyze robustness, cost, and behavior near multiple roots; and choose and justify the best method for specified scenarios.
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Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.