The condition that `f(x) = ax^3 + bx^2 + cx + d` has no extreme value is

Then condition that x^(4)+ax^(3)+bx^(2)+cx+d is a perfect squre,is

The condition that one root of ax^(3)+bx^(2)+cx+d=0 may be the sum of the other two is 4abc=

If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + bx^(2) + cx + d then (alpha)^2 + (beta)^2 + (gamma)^2 = ………….

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1) , then the value of a +b+c+d is

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1) , then the value of a +b+c+d is

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1), then the value of a +b+c+d is

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1) , then the value of a +b+c+d is

If both the critical points of f(x) = ax^(3)+bx^(2) +cx +d are -ve then