Question

Find the factorization of the polynomial below.

Answer 1

OptionD is the answer..!!
Hope this helps u.!!

Answer 2

Answer:

The given Polynomial is

   $\rightarrow 81x^2+7x+16$

                                     ------------------------------(1)

Comparing with general equation of Quadratic

    ax²+bx+c=0

The roots or factorization of this polynomial is possible only when

    $D\geq b^2-4ac$

In equation 1,

 $D=(7)^2-4 \times 81 \times 16\\\\D=49-5184\\\\D= -5135\\\\D$

So, Real factors of this Polynomial is not Possible.

Complex roots is given by

     $\rightarrow x=\frac{-b\pm \sqrt{D}}{2a}\\\\x=\frac{-7 \pm \sqrt{-5135}}{2 \times 81}\\\\x=\frac{-7 \pm\sqrt{-5135}}{162}$