Question

Write one in factor form with solutions 3,-1,-3i?

Answer 1

Factored form:
`(x-3)(x+1)(x^2+9)`

Expanded form:
`x^4-2x^3+6x^2-18x-27`

Explanation:

`(x-3)(x+1)(x^2+9)`

`(x^2-2x-3)(x^2+9)`

`x^4+9x^2-2x^3-18x-3x^2-27`

`x^4-2x^3+6x^2-18x-27`

`x-3=0` has a solution of
`x=3`

`x+1=0` has a solution of
`x=-1`

`x^2+9=0` has a solution of
`x=\pm 3i`