Divide `x^3 -4x^2 + 5x - 2` by x -2.

Divide x^(3) - 3x^(2) + 5x -3 by x^(2) -2 and verify the divison lemma.

Divide x^(2)-4x-21 by x-7

Divide 2x^5 -3x^4 +5x^3 -7x^2 +3x -4 by x-2.

Divide 4x^2+2x-3 by x-1

Divide 5x^2+3x-7 by x-3

Divide 5x^3-7x^2+6x+8 by x^2-5x+2 and verify the division algorithm.

The polynomial equation of degree 5 whose roots are the translates of the roots of x ^(5) - 2x ^(4) + 3x ^(3) -4x ^(2) + 5x -6=0 by -2 is

Divide 4x^3+2x^2+x+6 by 1+2x+x^2 .

Divide 7x^3-6x^2+2x+8 by x^2+2x+5 and verify the division algorithm.

The remainder we get when we divide 2x^(5) - 3x^(4) + 5x^(3) - 3x^(2) + 7x - 9 with x^(2) - x- 3 is