Question

Factor the expression over the complex numbers. x^2+18

Answer 1

`x^2+18=\\\\x^2-(-18)=\\\\(x-√(-18))(x+√(-18))=\\\\(x-3\sqrt2i)(x+3\sqrt2i)`

Answer 2

The factors are
`(x-3\sqrt2 i)(x+3\sqrt2 i)`

Explanation:

Given : Expression
`x^2+18`

To find : Factor the expression over the complex numbers ?

Solution :

Expression
`x^2+18`

First we solve for x,

`x^2+18=0`

`x^2=-18`

Taking root both side,

`x=√(-18)`

`x=\pm 3√(2)i`

So, The factors are
`(x-3\sqrt2 i)(x+3\sqrt2 i)`