![\qquad\qquad\huge\underline{{\sf Answer}}](https://img.qammunity.org/2023/formulas/mathematics/college/c2sxngg8eo14b80i5ilhws8elkvsue4xqb.png)
Here's the solution ~
To write a quadrilatic function, we have to use its roots, like we have to subtract the roots from x and multiply them ~ then we will get our required function !
Since our only root is 11 here, we have to do t double
![\qquad \sf \dashrightarrow \:(x - 11)(x - 11)](https://img.qammunity.org/2023/formulas/mathematics/college/unkkiof8ja1258oesqwrlovsqwbm3y1jqj.png)
![\qquad \sf \dashrightarrow \: {x}^(2) - 11x - 11x + 121](https://img.qammunity.org/2023/formulas/mathematics/college/a44p2mzxbe9eb2jf9yaszw3vq1vokc2ncu.png)
![\qquad \sf \dashrightarrow \: {x}^(2) - 22x + 121](https://img.qammunity.org/2023/formulas/mathematics/college/qylbhp94nz6vfc6bmeotswg64vqisy5h7o.png)
That's our required function ~ I hope you understood the whole thing !