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Find a , b , c ,and d such that the cubic function f ( x )= ax 3 + bx 2 + cx +

Find a, b, c,and d such that the cubic function

f(x)= ax3 + bx2 + cx + d

satisfies the given conditions.

Relative maximum: (3, 23)
Relative minimum: (5, 21)
Inflection point: (4, 22)

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