Dividend is .

Divisor is .

Use synthetic division to find .

The divisor is in the form of  .

Where , which is the root.

The divisor is in the form of  .

Where .

Write the terms of the dividend so that the degrees of the terms are in descending order.

Then write just the coefficients as shown below.

Write the constant of the divisor   to the left.

In this case, . Bring the first coefficient,   down.

Multiply the sum,   by  : .

Write the product under the next coefficient, and add :.

Multiply the sum,   by  : .

Write the product under the next coefficient, and add :.

Multiply the sum,   by  : .

Write the product under the next coefficient, and add :.

Multiply the sum,   by  : .

Write the product under the next coefficient, and add :.

The remainder is the last entry in the last row.

Therefore, the remainder .

The number along the bottom row are the coefficients of the quotient.

Start with the power of x that is one less than the degree of the dividend.

Thus, the result is . 

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