To find the zeros of the polynomial, we need to start with the transformation `z=x^3` .

`x^6-3x^3-10`

`=z^2-3z-10` now factor

`=(z-5)(z+2)` put back to x

`=(x^3-5)(x^3+2)`

Each term has a real zero and two complex zeros. The real zeros are given by

`x=5^{1/3}`

and

`x=-2^{1/3}`

** The real zeros of...**

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To find the zeros of the polynomial, we need to start with the transformation `z=x^3` .

`x^6-3x^3-10`

`=z^2-3z-10` now factor

`=(z-5)(z+2)` put back to x

`=(x^3-5)(x^3+2)`

Each term has a real zero and two complex zeros. The real zeros are given by

`x=5^{1/3}`

and

`x=-2^{1/3}`

**The real zeros of the polynomial are `5^{1/3}` and `-2^{1/3}` .**