Finding roots in practice

The following exercises are solved in this step.

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

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

Exercise 1.

Find the root factorization of the following polynomial:

[3x^3-13x^2+16x-4.]

Exercise 2. [Solved only in the PDF file]

Find the root factorization of the following polynomial: [3x^5+5x^4+4x^3+4x^2+x-1.]

Exercise 3. [Solved only in the PDF file]

Find the root factorizations of the following polynomials:

i) (x^4+2x^3-9x^2-2x+8 )

ii) (x^4-7x^3+17x^2-17x+6)

iii) (2x^4+x^3+3x^2+3x-9)