Answer: OPTION C
Explanation:
You need to follow these steps:
- Carry the number 1 down and multiply it by the number 2.
- Place the product obtained above the horizontal line, below the number 5 and add them.
- Put the sum below the horizontal line.
- Multiply this sum by the number 2.
- Place the product obtained above the horizontal line, below the number -14 and add them.
Then:
![2\ |\ 1\ \ 5\ -14\\\\.\ \ |\ \ \ \ 2\ \ \ 14\\------\\.\ \ \ 1\ \ \ 7\ \ 0](https://img.qammunity.org/2020/formulas/mathematics/high-school/fxf6xag7e2ukmkwdwhoo7r633p7ocwc948.png)
Therefore, the quotient in polynomial form is:
![x+7](https://img.qammunity.org/2020/formulas/mathematics/high-school/wbli45xibbw5um1kjyo9rots9vegdgweor.png)