Long divisions and Remainder theorem

For chapter 2, we have so far learnt about long divisions and remainder theorem. it basically means using a function, to divide a different function and finding out the remainder and the solution.

It involves a long step of basic division.

The Factor Theorem and The Remainder Theorem

The Steps to Long Division

Recap of Unit 1

So basically, before we started any kind of lessons, we had a formal review on what we learnt in Form 4 and 5 add maths, FUNCTIONS. After all that, then our lessons started.


In Chapter, its basically just knowing polynomial functions and what they look like. Maybe like this :

and definitely not something like this :

In 1.1, we learned about power functions and the concept of power functions.
In 1.2, we studied the basic characteristics of polynomial functions in terms of domain and range mostly.
In 1.3,  it is the about shapes of graphs and equations. HARD to SKETCH, HARDER to use a GC. So many buttons to press just to get 1 graph.
In 1.4, it was transformations where we starting from the equation y=a f [k(x + b)] + c


In 1.5 and 1.6, the concepts touch gradient, which is related to the INSTANTANEOUS RATE OF CHANGE (IROC) & AVERAGE RATE OF CHANGE (AROC). **technically it means using differentiation at time to get the gradient of a tangent**

Summary of Chapter 1

Chapter 1 is all about functions. Obviously.

Mainly polynomials.

with the basic form of f(x)=axⁿ+bx^n-1+cx^n-2+….

and this is about exponential functions. It is not a polynomial function. But all details about it are in the image :)