Question: Suppose the curve y = x 4 + ax 3 + bx 2 + cx + d has a tangent line when x 0

Suppose the curve y = x⁴ + ax³ + bx² + cx + d has a tangent line when x − 0 with equation y = 2x + 1 and a tangent line when x = 1 with equation y = 2 - 3x. Find the values of a, b, c, and d.

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