If a, b and c are the zeroes of a cubic polynomial `px^3 + qx^2+ rx+s` and `0> a> b> c`, then which of the following is true?

For a cubic polynomial t(x) = px^(3) + qx^(2) + rx +s , which of the following is always true:

If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c< 0 , then which of the following is true?

If the roots of the equation ax^(2) + bx + c= 0 is 1/k times the roots of px^(2) + qx + r = 0 , then which of the following is true ?

If a, b and c are roots of the equation x^3+qx^2+rx +s=0 then the value of r is

If a, b and c are roots of the equation x^3+qx^2+rx +s=0 then the value of r is

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

If the zeros of the polynomial p(x)=x^(3)-3x^(2)+4x-.11 are a,b and c and the zeros of the polynomial q(x)=x^(3)+rx^(2)+sx+t are (a+b),(b+c) and (c+a), then find t

Find the condition that the zeroes of the polynomial f(x) = x^3 – px^2 + qx - r may be in arithmetic progression.

The zeros of the cubic polynomial 2x^(3) -x^(2)-2x + 1 are a, b and c respectively. Find ab + bc + ca=?