Divide the polynomial `g(x) = x^3 - 3x^2 + x + 2` by the polynomial `x^2 - 2x + 1` and verify the division algorithm.

Divide the polynomial f(x)=3x^2-x^3-3x+5 by the polynomial g(x)=x-1-x^2 and verify the division algorithm.

Divide 2x^(2)+x-5 by x+2 and verify the division algorithm.

Divide the polynomial p(x)=x^4 -3x^2+4x+5 by the polynomial g(x)=x^2-x+1 and find quotient and remainder.

Divide 3x^2+x^3-3x+5 by x-1-x^2 , and verify the division algorithm.

x^3-2x^2-x+2 Factorize the polynomial,

Divide the polynomial f(x)=14 x^3-5x^2+9x-1 by the polynomial g(x)=2x-1 . Also, find the quotient and remainder.

Divide the polynomial f(x)=6x^3+11 x^2-39 x-65 by the poly-nomial g(x)=x^2-1+x . Also, find the quotient and remainder.

Divide: the polynomial 2x^4+8x^3+7x^2+4x+3\ \ by \ \ x+3.

Divide x^(4)+5x^(3)-x^(2)+4x-3 by x-2 and verify the division algorithm.

If the polynomial f(x)=x^4-6x^3+16 x^2-25 x+10 is divided by another polynomial x^2-2x+k , the remainder comes out to be x+a , find k and a .