Question

Observe the following activity to find the factors of given polynomial and choose the correct option for empty box. ​

Answer 1

Answer:

first give the question properly

Answer 2

Given,

The given polynomial$\[ = 6\sqrt 2 {x^2} + 8x + \sqrt 2 \]$

Solution,

Factorise the given polynomial.

$\[\begin{array}{l} \Rightarrow 6\sqrt 2 {x^2} + 8x + \sqrt 2 \\ \Rightarrow 6\sqrt 2 {x^2} + 2x + 6x + \sqrt 2 \\ \Rightarrow \sqrt 2 x\left( {6x + \sqrt 2 } \right) + 1\left( {6x + \sqrt 2 } \right)\\ \Rightarrow \left( {\sqrt 2 x + 1} \right)\left( {6x + \sqrt 2 } \right)\end{array}\]$

Hence, the blank is filled with $\[\left( {\sqrt 2 x + 1} \right).\]$