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SSSSS [86.1K]
4 years ago
15

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

Mathematics
2 answers:
jarptica [38.1K]4 years ago
8 0

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.

ozzi4 years ago
4 0

Answer:

3

Step-by-step explanation:

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