The division is .
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 .
Setup the synthetic division using a zero place for the missing term term in the dividend.
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 :
.
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 remainder can be written as
.
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.
\So the quotient is .
.