Question

Hi, I was confused on how to do this math worksheet. Please help me

Answer 1

Given:

`x^5-3x^4-8x^3-8x^2-9x-5=0`

the given polynomial is of degree 5. So, according to the first fundamental theorem of algebra, the given polynomial has 5 roots.

Find the root of the polynomial by synthetic division.

The complex roots are,

`\begin{gathered} x^2+1=0 \\ x^2=-1 \\ x=\sqrt[]{-1} \\ x=\pm i \end{gathered}`

Answer: complex roots of the polynomial is i and -i.