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Quadratic Formula

Revise Quadratic Formula in Algebra for GCSE Mathematics with 11 exam-style questions and 5 flashcards. This topic appears regularly enough that it should be part of a solid GCSE revision cycle.

Study this topic

1

When Factorising Fails

Introduction2

THE Formula (Memorise This!)

Key Facts3

Method: Using the Quadratic Formula

Deep Dive4

Worked Example 1: Clean Numbers

Notes5

Worked Example 2: Surd Answer

Notes6

The Discriminant: b² - 4ac

Key Facts7

Common Mistakes to Avoid

Exam Tips

Sample Flashcards

Quadratic Formula
x = (-b ± √(b²-4ac))/2a for ax² + bx + c = 0
The Quadratic Formula
x = (-b ± √(b² - 4ac)) / 2a

Sample Questions

For the equation 3x² − 5x + 2 = 0, what are the values of a, b, and c in the quadratic formula?

  • A. a = 3, b = 5, c = 2
  • B. a = 3, b = −5, c = 2
  • C. a = −5, b = 3, c = 2
  • D. a = 3, b = −5, c = −2
1 markfoundation

Explain what the value of the discriminant (b² − 4ac) tells you about the solutions to a quadratic equation.

2 marksstandard

11

exam-style questions

5

revision flashcards

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