Rewrite the expression in long division for
.
Use division to rewrite the divisor so it has a first coefficient of 18.
\Divide the numerator and denominator by 3.
\
Simplify the numerator and denominator.
\
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.
\
Bring down the first coefficient.
\
Multiply the first coefficient by r:
.
Write the product under the second coefficient.
\Then add the product and the second coefficient: 2 + 4 = 6.
\
Multiply the sum 6, by r:
.
Write the product under the next coefficient.
\Then add the product and last coefficient: 3 + 4 = 7
\
The remainder is the last entry in the last row. Therefore, R = 7.
\The numbers along the bottom row are the coefficients of the quotient.
\Start with the power of y that is one less than the degree of the dividend.
\Thus, the quotient is 6a + 6.
\
The result of division is
The result of division is
.