Explanation:
In a synthetic division, we have a dividend and a divisor.
For example in this expression:
3x^2+2x+1 is the dividend and x-7 is the divisor,
And the synthetic is arranged as follows:
Note that the numbers 3, 2, and 1 correspond to the dividend coefficients.
In this case, the numbers we have are:
The dividend coefficients are 2, 10, 1 and 5.
These numbers are only found in the following expression from the options:
![2x^3+10x^2+x+5](https://img.qammunity.org/2023/formulas/mathematics/college/cjj1rwmgkqmsvocubi1z356ti5wb522vja.png)
Which is the second option.
Answer:
![2x^(3)+10x^(2)+x+5](https://img.qammunity.org/2023/formulas/mathematics/college/tisvpreco2xhliikrajdsbcehbmloqxua9.png)