In this unit, participants will look at the fundamental tools required for calculus, the intuitive

description of the limit and factorisation of third-degree polynomials as an enabling tool in

sketching cubic functions

At the end of this Unit, participants should be able to:

â€¢ Factorise a third-degree polynomial using the factor theorem

â€¢ Determine the average gradient between two points using functional notation

â€¢ Understand the concept of the limit and solve simple problems involving limits

â€¢ Use the concept of average gradient and limit to derive a formula for first principles

â€¢ Differentiate elementary functions using first principles

Defining polynomials

A polynomial is an algebraic expression consisting of one or more terms. All the coefficients of a

the polynomial must be constants that are real numbers, and the exponents must be integers greater

than or equal to zero.

The highest exponent of a polynomial determines its degree.

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