Answer:

Step 1

Divide the leading term of the dividend by the leading term of the divisor:

Write down the calculated result in the upper part of the table.

Multiply it by the divisor:

Subtract the dividend from the obtained result:

Step 2

Divide the leading term of the obtained remainder by the leading term of the divisor:

Write down the calculated result in the upper part of the table.

Multiply it by the divisor:

Subtract the remainder from the obtained result:

Step 3

Divide the leading term of the obtained remainder by the leading term of the divisor:

Write down the calculated result in the upper part of the table.

Multiply it by the divisor: 18(x+2)=18x+36.

Subtract the remainder from the obtained result: (18x+5)−(18x+36)=−31.

Since the degree of the remainder is less than the degree of the divisor, then we are done.

The resulting table is shown once more:

Therefore the answer is :