GRUHITH GRUHITH
  • 06-08-2020
  • Mathematics
contestada

show that (x-1) is a factor of x¹⁰-1​

Respuesta :

backbaby0914
backbaby0914 backbaby0914
  • 06-08-2020

Answer:

The answer is 0 X=1

1. x10-1

(1)10-1

1-1

=0

2. x11-1

(1)11-1

1-1

=0

Step-by-step explanation:

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salatulmaghrib
salatulmaghrib salatulmaghrib
  • 06-08-2020
x^10 - 1 = (x^5+1)(x^5-1)
= (x^5+1)(x)(x^2+1)(x^2-1)
= (x^5+1)(x)(x^2+1)(x+1)(x-1)

See that (x-1) is one of the factors after the factorization. This proves it.
Whew
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