# Tangent to Cubic

Level pending

A cubic function $$f(x)$$ has a maximum value of $$5$$ at $$x = -2$$. The equation of the line tangent to the curve $$y = f(x)$$ at point $$(0, 1)$$ is $$y = 8 x + 1$$. What is the sum of all the coefficients of the function $$f(x)$$?

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