Question

The zeroes of a cubic polynomial  x3 --  27 x  are  ---- , ---- and  -------... ( help plzz) ​

Answer 1

The zeroes of a cubic polynomial
`x^(3)-27\cdot x` are
`0`,
`-√(27)` and
`+√(27)`.

Explanation:

The zeroes of the third-order polynomial are obtained by factorization:

`x^(3)-27\cdot x`

`x\cdot (x^(2)-27)`

`x\cdot (x+√(27))\cdot (x-√(27))`

The zeroes of a cubic polynomial
`x^(3)-27\cdot x` are
`0`,
`-√(27)` and
`+√(27)`.