Question: A curve C has equation y = x 3 2x 2 4x 1 and cuts the y-axis at a point P. The

A curve C has equation y = x3 − 2x2 − 4x − 1 and cuts the y-axis at a point P. 

The line L is a tangent to the curve at P, and cuts the curve at the point Q. 

Show that the distance PQ is 2√17 .

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