Polynomialshard
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Consider a cubic polynomial P(x)=x3+ax2+bx+cP(x) = x^3 + ax^2 + bx + c whose roots are in arithmetic progression. If the roots are rd,r,r+dr-d, r, r+d, which of the following expressions must equal 2a39ab+27c2a^3 - 9ab + 27c?