Divide: `x^3-6x^2+11 x-6\ b y\ \ x^2-4x+3`

Divide : 6+x-4x^2+x^3\ by \ \ x-3.

Divide each of and find the quotient and remainder: 6x^3-x^2-10 x-3\ b y\ 2x-3

Divide: 3x^3y^2+2x^2y+15 x y\ b y\ 3x y x^2+7x+12\ b y\ x+4

Divide: 5x^3-15 x^2+25 x\ b y\ 5x 4z^3+6z^2-z\ b y-1/2z

Divide each of and find the quotient and remainder: 6x^3+11 x^2-39 x-65\ b y\ 3x^2+13 x+13

Divide 12 x^3-8x^2-6x+10\ b y\ (3x-2)dot Also, write the quotient and the remainder.

Divide: 3x^3+4x^2+5x+18\ b y\ x+2 & 14 x^2-53 x+45\ b y\ 7x-9

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

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

Divide: x^2-5x+6b y\ x-3 (ii) a x^2-a y^2b y\ a x+a y