(" vi ")x^(3)+x^(2)-24x+36

Solve the equation x^(4)-6x^(3)+13x^(2)-24x+36=0, given that they have multiple roots.

Find HCF of 10x^(3)-10x^(2)-5x + 9 " &" 30x^(3)-61x^(2)-24x + 10

Determine the intervals of monotonicity for the following functions : f(x) = 2x^(3) -9x^(2) -24x +7 ,

Find the equation to the ausiliary circle of the ellipse 4x^(2) +9y^(2) -24x - 36 y + 36 = 0 .

Minimum value of f(x)=6x^(3) -9x^(2)-36x+24 is

The eccentricity of the ellipse 4 x^(2)+9 y^(2)-24 x+36 y+36=0 is

Find the local maximum and local minimum value of f(x)= x^(3)-3x^(2)-24x+5

Find the GCD of the given polynomials 3x^(4)+6x^(3)-12x^(2)-24x, 4x^(4)+14x^(3)+8x^(2)-8x

Find the critical points of the function f(x) =4x^(3)-6x^(2) -24x+9 " if f(i) x in [0,3] (ii) x in [-3,3] (iii) x in [-1,2]