[(x)=x^(3)-6x^(2)+11x-6,,g(x)],[=x^(2)-3x+2,]

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

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

Apply division algorithm to find the quotient q(x) and remainder r(x) on dividing f(x)=x^(3)-6x^(2)+11x-6byg(x)=x^(2)+x+1

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^(3)-6x^(2)+11x-6 by g(x)=x+2

f(x)=x^3-6x^2+11 x-6,\ g(x)=x^2-3x+2 find the remainder when f(x) is divided with g(x).

Let f(x)=(|x^(3)-6x^(2)+11x-6|)/(x^(3)-6x^(2)+11x-6) then the number of solutions of a where lim_(xtoa)f(x) does not exist is

Verify Rolle's theorem for the following functions: f(x)= x^(3) -6x^(2) + 11x-6, x in [2, 3]

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

Using factor theorem , show that g (x) is a factor of p(x) , when p(x)=2x^(4)+9x^(3)+6x^(2)-11x-6,g(x)=x-1

factorise (i) 2x^(3)-3x^(2)-17x+30 (ii) x^(3) -6x^(2)+11x-6 (iii) x^(3)+x^(2)-4x-4 (iv) 3x^(2)-x^(2)-3x+1