Question

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

1
2
3
4

Answer 1

The correct answer is 3 ZEROS.

Explanation:

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Answer 2

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.