Rewrite the expression in long division form (- 26r4 + 22r3 - 6r2 + 5r + 9)/(-2r).
\Divide the first term of the dividend by the first term of the divisor (- 26r4)/(-2r) = 13r3.
\So,the first term of the quotient is 13r3. Multiply (-2r) by 13r3 and subtract.
\Divide the first term of the last row by first term of the divisor (22r3)/(-2r) = - 11r2.
\So,the second term of the quotient is - 11r2. Multiply (- 2r) by - 11r2 and subtract.
\Divide the first term of the last row by first term of the divisor (-6r2)/(-2r) = 3r.
\So,the third term of the quotient is 3r. Multiply (- 2r) by 3r and subtract.
\Divide the first term of the last row by first term of the divisor (5r)/(-2r) = - 5/2.
\So,the fourth term of the quotient is - 5/2. Multiply (- 2r) by (- 5/2) and subtract.
\The remainder is the last entry in the last row.There fore, R = 9.
\The number along the bottom row are the coefficients of the quotient.
\The result of the division is (- 26r4 + 22r3 - 6r2 + 5r + 9)/(-2r) = (13r3 - 11r2 + 3r - 5/2) + 9/(- 2r).
\The result of the division is (- 26r4 + 22r3 - 6r2 + 5r + 9) = (-2r)(13r3 - 11r2 + 3r - 5/2) + 9.