Question

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

Answer 1

The polynomial is irreducible.

Answer 2

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^{(1)/(3))^3}\\\\=[x-(15)^{(1)/(3)}][x^2+(15)^{(1)/(3)}x+((15)^{(1)/(3)})^(2)]\\\\=[x-(15)^{(1)/(3)}][x^2+(15)^{(1)/(3)}x+(15)^{(2)/(3)}]`