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AlgebraDeep Dive

Method

Part of Quadratic Inequalities — GCSE Mathematics

This deep dive covers Method within Quadratic Inequalities for GCSE Mathematics. Revise Quadratic Inequalities in Algebra for GCSE Mathematics with 10 exam-style questions and 2 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 2 of 4 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 4

Practice

10 questions

Recall

2 flashcards

Method

1 Solve the EQUATION (set = 0) to find the roots
2 Sketch the parabola (U-shape if positive x² coefficient)
3 Identify where the curve is above/below the x-axis
4 Write the solution using correct inequality notation

Keep building this topic

Read this section alongside the surrounding pages in Quadratic Inequalities. That gives you the full topic sequence instead of a single isolated revision point.

Above or Below the Curve?Key PatternsWorked Example

Practice Questions for Quadratic Inequalities

For a positive (U-shaped) parabola with roots at x = 2 and x = 5, the expression is negative (below the x-axis) for which values of x?

  • A. x < 2 or x > 5
  • B. 2 < x < 5
  • C. x < 2 and x > 5
  • D. All values of x
1 markfoundation

Explain what the solution set of x² + 2x + 5 > 0 is, justifying your answer using the discriminant.

2 marksstandard

Quick Recall Flashcards

Quadratic Inequality Pattern
For U-shape: > 0 = outside roots (x < a or x > b), < 0 = between roots (a < x < b)
Quadratic Inequalities
Sketch graph, identify where curve is above/below x-axis

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Above or Below the Curve?

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Key Patterns