If `ax^3+ bx - c` is divisible by `x^2+bx+c`, then 'a' is a root of the equation

If the polynomial f(x)=ax^3+bx-c is divisible by g(x)=x^2+bx+c ,then the value of ab is

If the polynomial f(x) = ax^(3) + bx - c is divisible by the polynomial g(x) = x^(2) + bx + c then ab = …………..

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

If, alpha be the root of equation ax^2+bx+c=0 and beta be root of -ax^2+bx+c=0 then prove that there will be a root of the equation ax^2+2bx+2c=0 lying between alpha and beta , where a and c are non zero.

In the equation, ax^2+bx+c=0 , a,b and c in Z , if 3+i is a root of the equation, then value of a+b+c=?

if alpha is a real root of the quadratic equation ax^2+bx+c=0 and beta is a real root of -ax^2+bx+c=0 then show that there is a root gamma of the equation a/2x^2+bx+c=0 which is lies between alpha and beta .

If (x-1)^(2) is a factor of ax^(3) +bx^(2) +c then roots of the equation cx^(3) +bx +a=0 may be

If (x-1)^(2) is a factor of ax^(3) +bx^(2) +c then roots of the equation cx^(3) +bx +a=0 may be