According to the fundamental theorem of algebra, how many zeros does the function f (x) = 4x^3-x^2-2x+1 have?

Question

Mathematics

Trevin

19 April, 07:29

According to the fundamental theorem of algebra, how many zeros does the function f (x) = 4x^3-x^2-2x+1 have?

+3

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Lila Bean · Answer 1

Since the maximum exponent of x is 3, there should be three roots.

Unless you have a root squared and multiplyed by a different root, you will only have two roots since two are the same.

Also, if all three roots are the same, you only have one root.