Respuesta :

The solutions to an algebraic equation equal the highest power in that equation.  So, in this case, the answer is 23.


Answer:

The function has 23 zeros.

Step-by-step explanation:

Fundamental Theorem of Algebra-

Any polynomial of degree n has n roots or zeros.

The given function is,

[tex]f(x) = 15x^{23} + 41x^{19} + 13x^5- 10[/tex]

In the polynomial [tex]15x^{23} + 41x^{19} + 13x^5- 10[/tex], the highest power is 23.

So, according to fundamental theorem of algebra, there must be 23 roots or zeros of this polynomial.