Polynomial division in practice

The following exercise is solved in this step.

We invite you to try to solve it before watching the video.

In any case, you will find below a PDF file with the solution.

Exercise 1.

Divide the polynomial (x^4-x^3+x^2-3x-1) by (x^2+1).

Exercise 2.

Divide the polynomial ((x^3-8)) by ((x-2)).

Exercise 3. [Solved only in the PDF file]

Make the following divisions between polynomials:

i) ((2x^3-3x^2+3x+2) : (2x-1));

ii) ((x^4+2x^3-2x^2-5):(x+x^2-4)).