Quadratics and polynomials

Free ESAT Maths 2 lesson. Worked examples, common mistakes and a self-check.

What the lesson covers

  • The anatomy of a quadratic
  • Completing the square
  • The quadratic formula and the discriminant
  • The roots and the coefficients
  • When a line meets a parabola
  • Polynomials and long division
  • The factor and remainder theorems
  • Hidden quadratics and quadratic models
  • Self-check questions with answers (8)

Specification: MM1.3, 1.4, 1.6. Codes follow the UAT-UK ESAT content specification.

How to use it

  1. Read a section, then cover the worked example and try it yourself.
  2. Check the common mistakes list: these are the slips the real test is built to catch.
  3. Do the self-check without looking back. Mark it against the answers.
  4. Then practise the topic under time, with the matching practice set.

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