Question: how to solve for part b with clear logic a) Show that every cubic equation of the form x3 + bx2 + c = 0

how to solve for part b with clear logic

a) Show that every cubic equation of the form x3 + bx2 + c = 0 where b and c are real numbers has at least one root. (b) Show that every point (b, c) in the plane lies on a tangent line to the graph of y =x3

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