Consider the expression $x^3-64$x3−64.
Factorise this expression.
Does $x^3-64$x3−64 have any other real-valued linear factors?
State the number of real-valued linear factors that $x^3-64$x3−64 has.
The polynomial $x^3+5x^2+2x-8$x3+5x2+2x−8 has a factor of $x-1$x−1.
Consider the cubic $x^3+4x^2-11x-30$x3+4x2−11x−30.
By looking for linear factors of $12x+x^2-x^3$12x+x2−x3, factorise it completely.
Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs
Apply graphical methods in solving problems