AI Tutor

Premium Lesson

Upgrade to unlock this lesson, practice questions, and your personal tutor.

This lesson is part of a track

Public learning track

Advanced Quadratics, Discriminant Analysis, and Inequalities

12th Grade · Math · Open Global Math

7 lessons

Goal

Analyze quadratic functions in depth, evaluate discriminants across real and complex roots, and solve quadratic and linear inequalities in one and two variables.

7 lessons
0 of 7 done
  1. Completing the Square with Arbitrary Leading CoefficientsUp next
  2. Evaluating the Discriminant for Real, Repeated, and Complex RootsNot started yet
  3. Solving Quadratic Equations with Complex SolutionsNot started yet
  4. Solving One-Variable Quadratic Inequalities AlgebraicallyNot started yet
  5. Expressing Inequality Solutions in Interval and Set NotationNot started yet
  6. Graphing Linear and Quadratic Inequalities in Two VariablesYou are here
  7. Modeling and Optimizing Real-World Scenarios with Quadratic InequalitiesNot started yet
View full track

Learning standards covered

GlobalOGM.13.FN.1Open Global Math Standards 2026™ · 12th Grade

Analyze quadratic functions and equations, completing the square, evaluating the discriminant for real, repeated, or complex roots, and solving linear and quadratic inequalities in one and two variables graphically and using interval and set notation.