Today we will cover the theory of \textbf{factorisation}. This is the process of taking something like $x^2 + 5x + 6$ and transforming it into $(x+2)(x+3)$. This looks familiar because it is the reverse process to \textit{expansion}, which is what we learned in our \textbf{Topic 1} lesson.

\begin{questions}
    \question[1] Why do you think it is important to learn the factorisation technique?
    \begin{solutionordottedlines}[1in]
        So that we are able to break something down into its components and then maybe if we are lucky, cancel these common components out to make the expression more simple.
    \end{solutionordottedlines}
    \question[1] What is a silly, real life example of factorisation?
    \begin{solutionordottedlines}[0.5in]
        Considering anything to be broken down into its components. An outfit for example.
    \end{solutionordottedlines}
\end{questions}


Here is a box with a number of \textbf{buzz words} from today's class. As you come to understand these words, cross them off here.

\fbox{%
\makebox[\textwidth]{
\randomword{common}%
\randomword{factor}%
\randomword{difference}%
\randomword{of two squares}%
\randomword{monic}%
\randomword{non-monic}%
\randomword{quadratic}%
\randomword{perfect square}%
\randomword{factorisation}%
\randomword{expansion}%
}
}