" fi) "12x^(3)+4x^(2)-3x-1

Draw graph of y=12x^(3)-4x^(2)-3x+1 Hence find number of positive zeroes.

Find the values of x for which the following functions are maximum or minimum: (i) x^(3)- 3x^(2) - 9x (ii) 4x^(3)-15x^(2)+12x+1

The equation whose roots are diminished by 1 than those of 4x^(3)-x^(2)+2x-3=0 is (A) 4x^(3)-11x^(2)+12x+2=0 (B) 4x^(3)-11x^(2)+12x-3=0 (C) 4x^(3)+11x^(2)+12x+2=0 (D) 4x^(3)+11x^(2)+12x-3=0

By remainder theorem , find the remainder when p(x) is divided by g(x) where , (i) p(x) =x^(3) -2x^2 -4x -1 ,g(x) =x+1 (ii) p(x) =4x^(3) -12x^(2) +14x -3,g(x) =2x-1 (iii) p(x) =x^(3) -3x^(2) +4x +50 ,g(x) =x-3

The GCD of (2x^(2)-4x), (3x^(4)-12x^(2)) and (2x^(5)-2x^(4)-4x^(3)) is :

The number of distinct real roots of x^(4)-4x^(3)+12x^(2)+x-1=0

The number of distinct real roots of x^(4)-4x^(3)+12x^(2)+x-1=0 is (2011)

The number of distinct real roots of x^(4)-4x^(3)+12x^(2)+x-1=0 is :