# Cubic Polynomial

Algebra Level pending

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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