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Quadratic Equations · Factoring & Discriminant

by Anonymous

Set two roots, expand (x−r₁)(x−r₂)=0 and watch the discriminant b²−4ac tell how many real roots meet the parabola's x-intercepts.

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About this app

A middle-school interactive quadratic equation explorer that connects factoring, the discriminant, roots, and parabola x-intercepts. Adjust two roots to see how expansion changes the coefficients, change a, b, and c to observe how D = b²−4ac determines the number of real roots, and solve four multiple-choice challenges.

Use cases

  • Middle-school students learning quadratic equations
  • Teachers demonstrating factoring and discriminants
  • Learners exploring repeated, distinct, and non-real roots
  • Math practice using interactive visual feedback

Features

  • Interactive root controls for factoring exploration
  • Live expansion of (x−r₁)(x−r₂) into a quadratic equation
  • Adjustable a, b, and c values with calculated discriminant
  • Parabola visuals showing zero, one, or two x-axis intersections
  • Four missions in each learning section
  • Four-question challenge with a correct-answer streak