The long polynomial division method is employed as follows:
- Set up a table as below:
- Divide 5x^2 by x, and place the result at the top of the bar, as shown below:
- Now, use (x + 2) to multiply 5x, and write the answer underneath 5x^2+16x+9 in the table, as below:
- Now we subtract 5x^2+10x from 5x^2+16x+9, as below:
- By performing similar operations we get the final solution, as follows:
Therefore, the quotient is (5x + 6), and the remainder is -3
