If the zeros of the polynomial fx-a x3-3 b x2-3 c x-d are in A-P- prove that 2 b3-3 a b c-a2 d-0-

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Formation of a Quadratic Equation From It's Roots

If the zeros ...

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

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If zeros of f(x)= ax³+3bx²+3cx+d are in arrithmatic progression , prover that 2b³-3abc+a²d=0

p (x) = a x^{3} + 3 b x^{2} + 3 c x + d

2 b^{3} - 3 a b c + a^{2} d

If roots of polynomial ax^3+3bx^2+3cx+d are in A.p. prove that 2b^3-3abc+a^2d=0

a x^{3} + 3 b x^{2} + 3 c x + d = 0

a x^{3} + 3 b x^{2} + 3 c x + d = 0

\frac{b c - a d}{2 (a c - b^{2})}

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