Final Answer
Step-by-step Solution
Specify the solving method
Let's divide the polynomial by $x-5$ using synthetic division (also known as Ruffini's rule). First, write all the coefficients of the polynomial in the numerator in descending order based on grade (putting a zero if a term doesn't exist). Then, take the first coefficient ($3$) and multiply it by the root of the denominator ($5$). Add the result to the second coefficient and multiply this by $5$ and so on
In the last row appear the new coefficients of the polynomial. Use these coefficients to rewrite the new polynomial with a lower grade, and the remainder ($31$) divided by the divisor