The diagram shows part of the curve with equation y = (x 5)(x + 2)(x

Question:

The diagram shows part of the curve with equation y = (x − 5)(x + 2)(x − 3).


a) Write down the coordinates of A and B.


b) Show that the equation may be written as y = x³ − 6x² − x + 30.


c) Find the total shaded area.


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