According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have? 1 2 3 4

3 zeroes.

Explanation:-

The fundamental theorem of algebra states that any polynomial with degree m>0  and complex coefficients has atleast one complex root. Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.

The given function is

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.