" A) "9x^(3)-6x^(2)+12x

Factorise: 9x ^(3)- 6x ^(2)+ 12x

Factorize 9x^(3)-6x^(2)+12x

Analyze the roots of the following equations: (i) 2x^(3) - 9x^(2) + 12x - (9//2) = 0 (ii) 2x^(3) - 9x^(2) + 12x - 3 = 0

Let f(x)=2x^(3)-9x^(2)+12x+6. Discuss the global maxima and minima of f(x) in [0,2].

Find the values of x such that f(x)=2x^(3)-9x^(2)+12x+2 is a decreasing function.

Let f(x)=2x^(3)-9x^(2)+12x+6. Discuss the global maxima and global minima of f(x) in (1,3).

The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a decreasing function of x, is-