Dividend is .
Divisor is .
Use synthetic division to find .
The divisor is in the form of .
Where , which is the root.
\
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, 1, 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, 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 quotient is .
.