Author note — to cover

Solve quadratics without a constant term, e.g. x² = 5x and 3x² + 12x = 0, by taking out the factor x, insisting on both roots and naming the error of dividing through by x, which throws away x = 0. Full two-bracket factorising is the sibling page. Both tiers. (A18)

• Fluency — direct questions on quadratics with no constant term, 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).