How many roots of the equation `3x^(4) + 6x^(3) + x^(2) + 6x + 3 = 0` are real ?

Find how many roots of the equations x^4+2x^2-8x+3=0.

Find the values of a for which all the roots of the equation x^4-4x^3-8x^2+a=0 are real.

Find the roots of the equation x-(1)/(3x)=(1)/(6)(x ne 0)

Using differentiation method check how many roots of the equation x^3-x^2+x-2=0 are real?

If a, b are real then show that the roots of the equation (a-b)x^(2)-6(a+b)x-9(a-b)=0 are real and unequal.

If x = 1 is one root of the equation x^(3) - 6x^(2) + 11x -6 = 0, find the other roots.