Question

# If teh zeros of the polynomial f(x)=ax3+3bx2+3cx+d are in A.P., prove that 2b3−3abc+a2d=0

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Solution

## Let p-r, p, p+r be the zeroes of equation, Sum of roots = p - r + p + p + r = 3p = p = Now, p is a root of eqn. So put it in the equation: Hence proved

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