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Sati [7]
3 years ago
8

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

Mathematics
2 answers:
stealth61 [152]3 years ago
5 0

Answer with explanation:

Use the identity to solve the problem

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}}]  

Anuta_ua [19.1K]3 years ago
4 0
The polynomial is irreducible.
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