Question

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

Answer 1

Answer: 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 $f(x)=4x^3-x^2-2x+1$

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

Answer 2

Answer:

3

Step-by-step explanation: