" 7."f(x)=x^(3)-6x^(2)+11x-6,g(x)=x^(2)-3x+2

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

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

f(x)=x^(3)-6x^(2)+2x-4,g(x)=1-2x

f(x)=x^(3)-6x^(2)-19x+84,g(x)=x-7

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

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