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 + 2/3x. Find the values of a, b, c, and d.
a) a = 2, b = 1, c = 0, d = 1
b) a = 1, b = 2, c = 3, d = 4
c) a = 3, b = 0, c = 1, d = 2
d) a = 0, b = 3, c = 2, d = 1