Answer:
The given Polynomial is
[tex]\rightarrow 81x^2+7x+16[/tex]
------------------------------(1)
Comparing with general equation of Quadratic
ax²+bx+c=0
The roots or factorization of this polynomial is possible only when
[tex]D\geq b^2-4ac[/tex]
In equation 1,
[tex]D=(7)^2-4 \times 81 \times 16\\\\D=49-5184\\\\D= -5135\\\\D<0[/tex]
So, Real factors of this Polynomial is not Possible.
Complex roots is given by
[tex]\rightarrow x=\frac{-b\pm \sqrt{D}}{2a}\\\\x=\frac{-7 \pm \sqrt{-5135}}{2 \times 81}\\\\x=\frac{-7 \pm\sqrt{-5135}}{162}[/tex]
