Cambridge AS & A Level Mathematics
1.1Quadratics
Quadratics in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic37 practice questions2 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 1.1.1Complete the square for ax² + bx + c and use the completed-square form (vertex, sketch).
- 1.1.2Find and use the discriminant, including the number of real roots and repeated roots.
- 1.1.3Solve quadratic equations and quadratic inequalities in one unknown.
- 1.1.4Solve by substitution a pair of simultaneous equations, one linear and one quadratic.
- 1.1.5Recognise and solve equations in x that are quadratic in some function of x.
Lessons
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Completing the square and the discriminant
40 min
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Quadratic equations, inequalities and simultaneous equations
45 min
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Sample question
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