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A curve has equation y= 6x^3 + ax^2 + bx - 12. It passes through the point (1,-4). At the point where it crosses the
A curve has equation y= 6x^3 + ax^2 + bx - 12. It passes through the point (1,-4). At the point where it crosses the y-axis, its gradient is -8.
a) Find the value of a and the value of b.
b) Find the coordinates of the other point where its gradient is -8.
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