chrisjyoung236 chrisjyoung236
  • 07-06-2017
  • Mathematics
contestada

which of the following is the correct factorization of the polynomial below? x^3-15

Respuesta :

holyya holyya
  • 16-06-2017
The polynomial is irreducible.
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Аноним Аноним
  • 20-06-2019

Answer with explanation:

Use the identity to solve the problem

[tex]a^3 -b^3=(a-b)(a^2+ab+b^2)\\\\x^3-15=x^3-(15^{\frac{1}{3})^3}\\\\=[x-(15)^{\frac{1}{3}}][x^2+(15)^{\frac{1}{3}}x+((15)^{\frac{1}{3}})^{2}]\\\\=[x-(15)^{\frac{1}{3}}][x^2+(15)^{\frac{1}{3}}x+(15)^{\frac{2}{3}}][/tex]  

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