karlysstars
karlysstars karlysstars
  • 24-10-2019
  • Mathematics
contestada

Factor the following polynomial completely. (X^8-6561)

Respuesta :

alejandrocampos54
alejandrocampos54 alejandrocampos54
  • 24-10-2019

Answer:

x^8 - 6561

= (x^4 + 81)(x^4 - 81) .... one of these can't be factored further, but we have another difference of squares!

= (x^4 + 81)(x² + 9)(x² - 9)

= (x^4 + 81)(x² + 9)(x + 3)(x - 3) .... this is your final answer

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