Divide (6c^4-12c^2+18c+19)/(6c+6)

Math
6c4-12c2+18c+196c+6
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
6c+66c4+0c312c2+18c+19
Divide the highest order term in the dividend 6c4 by the highest order term in divisor 6c.
c3
6c+66c4+0c312c2+18c+19
Multiply the new quotient term by the divisor.
c3
6c+66c4+0c312c2+18c+19
+6c4+6c3
The expression needs to be subtracted from the dividend, so change all the signs in 6c4+6c3
c3
6c+66c4+0c312c2+18c+19
6c46c3
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
c3
6c+66c4+0c312c2+18c+19
6c46c3
6c3
Pull the next terms from the original dividend down into the current dividend.
c3
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
Divide the highest order term in the dividend -6c3 by the highest order term in divisor 6c.
c3c2
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
Multiply the new quotient term by the divisor.
c3c2
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
6c36c2
The expression needs to be subtracted from the dividend, so change all the signs in -6c3-6c2
c3c2
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
c3c2
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2
Pull the next terms from the original dividend down into the current dividend.
c3c2
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
Divide the highest order term in the dividend -6c2 by the highest order term in divisor 6c.
c3c2c
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
Multiply the new quotient term by the divisor.
c3c2c
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
6c26c
The expression needs to be subtracted from the dividend, so change all the signs in -6c2-6c
c3c2c
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
+6c2+6c
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
c3c2c
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
+6c2+6c
+24c
Pull the next terms from the original dividend down into the current dividend.
c3c2c
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
+6c2+6c
+24c+19
Divide the highest order term in the dividend 24c by the highest order term in divisor 6c.
c3c2c+4
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
+6c2+6c
+24c+19
Multiply the new quotient term by the divisor.
c3c2c+4
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
+6c2+6c
+24c+19
+24c+24
The expression needs to be subtracted from the dividend, so change all the signs in 24c+24
c3c2c+4
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
+6c2+6c
+24c+19
24c24
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
c3c2c+4
6c+66c4+0c312c2+18c+19
6c46c3
6c312c2
+6c3+6c2
6c2+18c
+6c2+6c
+24c+19
24c24
5
The final answer is the quotient plus the remainder over the divisor.
c3-c2-c+4-56c+6
Divide (6c^4-12c^2+18c+19)/(6c+6)

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