Problem require Lagrange interpolation

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Given $P(x) = ax^3 + bx^2 + cx + d$ where $ \vert P(x) \vert \le 1\; \forall \vert x \vert \le 1$ Prove: $$ \vert a \vert + \vert b \vert + \vert c \vert + \vert d \vert \le 7$$ Hopes you guys can help me with this problem. Thank you so much!!!!!!