## 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. |