Find the condition that the zeros of the polynomial fx-x3-3 p x2-3 q x-r may be in A-P-

Let and be the zeros of the polynomials .Then, nbsp; Sum of the zeros = Since is a zero of the polynomial .Therefore, Substituting we get, Henc ...

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Formation of a Quadratic Equation From It's Roots

Find the cond...

Question

Find the condition that the zeros of the polynomial f(x) = x³ + 3px² + 3qx + r may be in A.P.

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f (x) = x^{3} - 3 p x^{2} + q x - r

x^{3} + 3 p x^{2} + 3 q x + r = 0

x^{3} + 3 p x^{2} + 3 q x + r = 0

p (x) = x^{3} - p x^{2} + q x - r

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