Answer:
The function f(x) has 14 zeros.
Step-by-step explanation:
We know that by Fundamental Theorem of Algebra :
Any polynomial equation of degree n with complex coefficient has exactly 'n' complex roots counting multiplicity.
Here we are given a polynomial function f(x) as:
\(f(x)=2x^{14}-14x^6+27x^3-13x+12\)
So, this polynomial function is of degree 14.
Hence, the given polynomial function f(x) has exactly 14 zeros.
