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A polynomial curve of the form y=ax 3 +bx 2 +cx+d has a relative extrema at (1,2) and an inflection point with a horizontal tangent

A polynomial curve of the form

y=ax³+bx²+cx+d has a relative extrema at (1,2) and an inflection point with a horizontal tangent at (-1,0). Determine a, b, c, and d.

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