Divide (6r^3-9r^2-19r-24)/(r-3)

Math
6r3-9r2-19r-24r-3
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
r36r39r219r24
Divide the highest order term in the dividend 6r3 by the highest order term in divisor r.
6r2
r36r39r219r24
Multiply the new quotient term by the divisor.
6r2
r36r39r219r24
+6r318r2
The expression needs to be subtracted from the dividend, so change all the signs in 6r3-18r2
6r2
r36r39r219r24
6r3+18r2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
6r2
r36r39r219r24
6r3+18r2
+9r2
Pull the next terms from the original dividend down into the current dividend.
6r2
r36r39r219r24
6r3+18r2
+9r219r
Divide the highest order term in the dividend 9r2 by the highest order term in divisor r.
6r2+9r
r36r39r219r24
6r3+18r2
+9r219r
Multiply the new quotient term by the divisor.
6r2+9r
r36r39r219r24
6r3+18r2
+9r219r
+9r227r
The expression needs to be subtracted from the dividend, so change all the signs in 9r2-27r
6r2+9r
r36r39r219r24
6r3+18r2
+9r219r
9r2+27r
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
6r2+9r
r36r39r219r24
6r3+18r2
+9r219r
9r2+27r
+8r
Pull the next terms from the original dividend down into the current dividend.
6r2+9r
r36r39r219r24
6r3+18r2
+9r219r
9r2+27r
+8r24
Divide the highest order term in the dividend 8r by the highest order term in divisor r.
6r2+9r+8
r36r39r219r24
6r3+18r2
+9r219r
9r2+27r
+8r24
Multiply the new quotient term by the divisor.
6r2+9r+8
r36r39r219r24
6r3+18r2
+9r219r
9r2+27r
+8r24
+8r24
The expression needs to be subtracted from the dividend, so change all the signs in 8r-24
6r2+9r+8
r36r39r219r24
6r3+18r2
+9r219r
9r2+27r
+8r24
8r+24
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
6r2+9r+8
r36r39r219r24
6r3+18r2
+9r219r
9r2+27r
+8r24
8r+24
0
Since the remander is 0, the final answer is the quotient.
6r2+9r+8
Divide (6r^3-9r^2-19r-24)/(r-3)

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