what shall be the factors of x^{2 _{+ x +6}}

Answer :
Factors of equation x² + x + 6
here a = 1 b = 1 and c = 6 
Now we use quardetic formula



x = $\frac{-1 \pm \sqrt{1 - 4\times 1\times 6}}{2\times 1}$

x = $\frac{-1 \pm \sqrt{- 23}}{2}$

when we get negative integer in square root than we write it As $\sqrt{-23} = i\sqrt{23}$  Where ' i ' is imaginary number

So our factors are

[ x - $\left(\frac{-1 - i\sqrt{23}}{2}\right)$  ]  [ x - $\left(\frac{-1 + i\sqrt{23}}{2}\right)$  ]                          ( Ans )