Please factor this polynominal and show work Completely fact

Please factor this polynominal and show work

Completely factor the given polynomial, if possible if the polynomial cannot be factored indicate \"Not Factorable\". 9 + x^2

Solution

9 +x^2  

If we want real factors then it cannot be factorised

For complex roots it can be written as : 9 +x^2 = x^2 -(3i)^2

= (x+3i)(x-3i)