Ononot — Let P(x) = x^4 + ax^3 + bx^2 + cx + d be a monic quartic pol

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Polynomialshard

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Let $P(x) = x^4 + ax^3 + bx^2 + cx + d$ be a monic quartic polynomial. If $P(1) = P(2) = P(3) = 0$ and $P(4) = 12$ , what is the value of $P(-1)$ ?