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Polynomialshard
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Let P(x)=x4+ax3+bx2+cx+dP(x) = x^4 + ax^3 + bx^2 + cx + dP(x)=x4+ax3+bx2+cx+d be a monic quartic polynomial. If P(1)=P(2)=P(3)=0P(1) = P(2) = P(3) = 0P(1)=P(2)=P(3)=0 and P(4)=12P(4) = 12P(4)=12, what is the value of P(−1)P(-1)P(−1)?