Cubic Polynomial

Algebra Level 3

Let the function \(f(x) \) be a cubic polynomial of the form \(ax^3+bx^2+cx +d \), and it satisfy the constraints \(f(0) = 7, f(1) = 10, f(2) = 15\) and \(f(3) = 28\). Compute \(a+2b+3c+4d\).

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