Question

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

Answer 1

Explanation:

I just took the test on edgnuity and it is NOT B so my 2nd guess would be D

Answer 2

Answer with explanation:

The Polynomial single variable function having highest degree of variable equal to 8, has 8 roots.for example

`Ax^8\pm Bx^7\pm Cx^6\pm Dx^5\pm Ex^4\pm Fx^3\pm Gx^2\pm Hx \pm E=0`

It must be kept in mind

Imaginary and Irrational root occur in pairs.

So,if the function in single variable has 8 roots, the roots can be all real, or even number of real roots, as well as even number of imaginary or Irrational roots.The possible combination of roots are as follows:

All real, (6 real ,2 Imaginary ),(4 real ,4 imaginary),(2 real,6 imaginary),All Imaginary,(6 real ,2 Irrational ),(4 real ,4 Irrational ),(2 real,6 Irrational),All Irrational.