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Polynomialsmedium
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Let P(x)=ax3+bx2+cx+dP(x) = ax^3 + bx^2 + cx + dP(x)=ax3+bx2+cx+d. If the graph of P(x)P(x)P(x) passes through the origin and the roots of P(x)P(x)P(x) are r1=1r_1 = 1r1​=1, r2=−2r_2 = -2r2​=−2, and r3=3r_3 = 3r3​=3, which of the following expressions represents P(x)P(x)P(x) for some constant a≠0a \neq 0a=0?