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  1. Subjects
  2. /
  3. Mathematics
  4. /
  5. Grade 11 Mathematics Theory
  6. /
  7. Quadratics
Grade 11 · Theory

Quadratics

Solve by factorising and by formula, read the nature of the roots off the discriminant, and work through quadratic inequalities with confidence.

4 free units in this chapter

Units in this chapter

Solving by factorising and the formula

Grade 11 completes your quadratic toolkit: when factorising fails, the quadratic formula always works.

About 3 min

The discriminant

The discriminant Δ = b² − 4ac tells you about the roots without solving the equation.

About 3 min

Quadratic inequalities

A quadratic inequality asks where a parabola is above or below zero, so the answer is a set of intervals.

About 3 min

Nature and sum of roots

Beyond finding roots, Grade 11 asks you to reason about them algebraically.

About 3 min