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

Divide 4x^3+2x^2+x+6 by 2+4x+x^2 and verify the division algorithm.

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

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

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

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

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

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

Divide 4x^(3)-11x^(2)+7x-2 by 1+x-x^(2) and verify the division algorithm. Note Always write the divided and divisor in standard form i.e., decreasing order of the variable.