The division is .

Use synthetic division to find .

Rewrite the given expression in the long division form.

.

Dividend is .

Divisor is .

The divisor obtained is

Now The divisor is in the form of  .

Where .

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.

The quotient  is .

.