Demystifying - Solving a quadratic by factorising

Drills

Factorising, then setting each bracket to zero, since a factor must be zero.

Author note — to cover

Solve quadratics already equal to zero by factorising and setting each bracket to zero, since a product vanishes only when a factor does. Foundation: monic x² + bx + c cases including the difference of two squares. Higher adds a > 1 via the harder factorising page; rearranging first is the Higher sibling. (A18)

  • Fluency — direct questions on solving a quadratic by factorising, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Solving a quadratic by factorising.