Syllabus • Algebra and Functions

Laws of indices for all rational exponents. Use and manipulation of surds. Students should be able to rationalise denominators. Quadratic functions \(ax^2+bx+c\) and their graphs. The discriminant of a quadratic function. Completing the square. Solution of quadratic equations. Solution of quadratic equations by factorisation, use of the formula and completing the square. Simultaneous equations: analytical solution by substitution. For example, where one equation is linear and one equation is quadratic. Solution of linear and quadratic inequalities.
Topic Algebra and Functions
Module C1
Description Laws of indices for all rational exponents. Use and manipulation of surds. Students should be able to rationalise denominators. Quadratic functions \(ax^2+bx+c\) and their graphs. The discriminant of a quadratic function. Completing the square. Solution of quadratic equations. Solution of quadratic equations by factorisation, use of the formula and completing the square. Simultaneous equations: analytical solution by substitution. For example, where one equation is linear and one equation is quadratic. Solution of linear and quadratic inequalities.

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