Question

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

Answer 1

Explanation:

4x3 − x2 − 2x + 1

I show one zero. X= - 0.78769256

Answer 2

3 zeros

Explanation:

• The fundamental theorem of algebra states that any polynomial with degree m>0 and complex coefficients has at least one complex root.

• Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.

The given function is 4x^3-x^2-2x+1

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