The least possible value of a for which `(x^3-6x^2+11 x-6)/(x^3+x^2-10 x+8)+a/30=0`does not have a real solution is

The least possible value of a for which (x^(3)-6x^(2)+11x-6)/(x^(3)+x^(2)-10x+8)+(a)/(30)=0 does not have a real solution is

x^(3)-6x^(2)+11x-6=0

Factorize :x^(3)-6x^(2)+11x-6

x^(3)+6x^(2)+11x+6

x^(3)+6x^(2)+11x+6

Evaluate: (lim)_(x rarr2)(x^(3)-6x^(2)+11x-6)/(x^(2)-6x+8)

The values of p, for which the equations 6x + py - 5 = 0 and 3x + 2y - 8 = 0 have unique solution is :

Exact set of values of a for which x^(3)(x+1)=2(x+a)(x+2a) is having four real solutions is

f(x)=x^(3)-6x^(2)+11x-6;g(x)=x-3

The set of values of x for which f(x)=3x^(4)-8x^(3)-6x^(2)+24x-12 is an increasing function is