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  • 17-08-2020
  • Mathematics
contestada

A polynomial of degree n has _____.​

Respuesta :

bbellaaa068
bbellaaa068 bbellaaa068
  • 17-08-2020

Answer:

n roots (counting multiplicity)

Step-by-step explanation:

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity). To get from "at most" to "exactly" you need a way to show that a polynomial of degree n has at least one root. Then you can proceed by induction.

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