If `f(x)=ax^(5)+bx^(3)+cx+d` is an odd function then d=

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

Let f(x)=ax^(3)+bx^(2)+cx+d sin x. Find the condition that f(x) is always one-one function.

If f(x)=x^(3)+bx^(2)+cx+d and f(0),f(-1) are odd integers,prove that f(x)=0 cannot have all integral roots.

If f(x) = x^(3) + bx^(2) + cx +d and 0lt b^(2) lt c .then in (-infty, infty)

Let alpha, beta, gamma are the roots of f(x)-=ax^(3)+bx^(2)+cx+d=0 . Then the condition for roots of f(x)=0 are in G.P is (A) ac^(3)=b^(3)d (B) a^(3)c=bd^(3) (C) ac=bd (D) a^(2)c=b^(2)d

If one of the zeroes of the cubic polynomial ax^(3) +bx^(2) +cx +d is zero, the product of the other two zeroes is

Let alpha,beta,gamma are the roots of f(x)-=ax^(3)+bx^(2)+cx+d=0 .Then The condition for the product of two of the roots is-1 is

The polynomial f(x)=x^(4)+ax^(3)+bx^(3)+cx+d has real coefficients and f(2i)=f(2+i)=0. Find the value of (a+b+c+d)

Let alpha , beta , gamma are the roots of (x)-=ax^(3)+bx^(2)+cx+d=0 Then The condition for roots of f(x)=0 are in G.Pis

If the graph of y=ax^(3)+bx^(2)+cx+d is symmetric about the line x=K then the value of a+K is (y is not a constant function)