Divide (-5k^2+k^3+8k+4)÷(-1+k)


Step 1
Reorder and .

Step 2
Reorder and .

Step 3
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
--++

Step 4
Divide the highest order term in the dividend by the highest order term in divisor .
--++

Step 5
Multiply the new quotient term by the divisor.
--++
+-

Step 6
The expression needs to be subtracted from the dividend, so change all the signs in
--++
-+

Step 7
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
--++
-+
-

Step 8
Pull the next terms from the original dividend down into the current dividend.
--++
-+
-+

Step 9
Divide the highest order term in the dividend by the highest order term in divisor .
-
--++
-+
-+

Step 10
Multiply the new quotient term by the divisor.
-
--++
-+
-+
-+

Step 11
The expression needs to be subtracted from the dividend, so change all the signs in
-
--++
-+
-+
+-

Step 12
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-
--++
-+
-+
+-
+

Step 13
Pull the next terms from the original dividend down into the current dividend.
-
--++
-+
-+
+-
++

Step 14
Divide the highest order term in the dividend by the highest order term in divisor .
-+
--++
-+
-+
+-
++

Step 15
Multiply the new quotient term by the divisor.
-+
--++
-+
-+
+-
++
+-

Step 16
The expression needs to be subtracted from the dividend, so change all the signs in
-+
--++
-+
-+
+-
++
-+

Step 17
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-+
--++
-+
-+
+-
++
-+
+

Step 18
The final answer is the quotient plus the remainder over the divisor.


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