a. Factorise completely x 3 4x. b. Sketch the curve with equation y = x 3

Question:

a. Factorise completely x3 − 4x.

b. Sketch the curve with equation y = x3 − 4x, showing the coordinates of the points where the curve crosses the x-axis.

c. On a separate diagram, sketch the curve with equation y = (x − 1)3 − 4(x − 1) showing the coordinates of the points where the curve crosses the x-axis.

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