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What quadratic inequalities mean

What quadratic inequalities mean

Upward-opening parabola crossing the x-axis at -5 and -2, with positive regions outside the roots and a negative region between them A quadratic inequality asks for all the values of xxx that make a quadratic expression positive or negative, such as x2+4x+3>0x^2+4x+3>0x2+4x+3>0. The roots are the key starting points because they are the values where the expression equals zero.

Quadratic Inequalities Lesson

  1. IGCSE
  2. /Maths
  3. /Quadratic Inequalities

Step-by-step lessons covering CIE IGCSE Maths Quadratic Inequalities for Core and Extended tier. Each lesson works through exam-style questions in Paper 1 and Paper 3 (Core) or Paper 2 and Paper 4 (Extended) format. Start with the Core-tier fundamentals in number and algebra before moving on to the more demanding Extended-only topics like calculus-adjacent algebra and advanced trigonometry.

Lessons

Quadratic Simultaneous EquationsTransforming Graphs y=f(x)ProofCompleting the SquareInverse and Composite FunctionsQuadratic InequalitiesSequences (Higher)DifferentiationVectors Proof QuestionsProbability Equation Questions