Question

ALGEBRA 2 help please;Question in the attached

Answer 1

The given polynomial can have at most 8 roots.

Explanation:

Here, the given polynomial is
`f (x) = x^(8)  + 2x^(5) -3x + 4`

Now, by FUNDAMENTAL THEOREM OF ALGEBRA:

A polynomial of degree n can have at most n distinct real roots.

Here, the given polynomial is of degree 8. ( highest power of x)

So, by the stated theorem can have at most 8 roots which might or might not be distinct in nature.