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

c)3 roots

Step-by-step explanation:

According to the fundamental theorem of algebra, any polynomial expression of degree n has n roots.

So, in this case:

f(x) = 4x3 - x2 - 2x + 1

The degree of the polynomial expression is given by the highest exponent on a variable. The term that has the highest exponent is 4x∧3.

Since the degree of the polynomial is 3, it has 3 roots.