[" 12.If zeroes of the polynomial "],[f(x)=x^(3)-3px^(2)+qx-r" are in A.P.,then show that "],[2p^(3)=pq-r" ."]

If zeros of polynomial f(x0 = x^(3) - 3px^(2)+qx-r are in AP then 2p^(3) = ………..

If zeros of x^(3)-3px^(2)+qx-r are in A.P. then

If zeros of the polynomial x^3-3px^2+qx-r are in A.P.then

If zeros of the polynomial f(x)=x^(3)-3px^(2)+qx-r are in A.P.then 2p^(3)=pq-r( b )2p^(3)=pq+rp^(3)=pq-r (d) None of these

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then

If zeros of the polynomial f(x)=x^3-3p x^2+q x-r are in A.P., then (a) 2p^3=p q-r (b) 2p^3=p q+r (c) p^3=p q-r (d) None of these

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then prove that, 2p^3 −9pq+27r=0

If zeros of x^3 - 3p x^2 + qx - r are in A.P., then

FInd the condition that the zeroes of the polynomial f(x)=x^(3)+3px^(2)+3qx+r may be in A.P