Divide Using Long Polynomial Division (2x^4-7x^3-50x^2-10x+96)/(x^2+x-3)


Step 1
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
+----+

Step 2
Divide the highest order term in the dividend by the highest order term in divisor .
+----+

Step 3
Multiply the new quotient term by the divisor.
+----+
++-

Step 4
The expression needs to be subtracted from the dividend, so change all the signs in
+----+
--+

Step 5
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+----+
--+
--

Step 6
Pull the next terms from the original dividend down into the current dividend.
+----+
--+
---

Step 7
Divide the highest order term in the dividend by the highest order term in divisor .
-
+----+
--+
---

Step 8
Multiply the new quotient term by the divisor.
-
+----+
--+
---
--+

Step 9
The expression needs to be subtracted from the dividend, so change all the signs in
-
+----+
--+
---
++-

Step 10
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-
+----+
--+
---
++-
--

Step 11
Pull the next terms from the original dividend down into the current dividend.
-
+----+
--+
---
++-
--+

Step 12
Divide the highest order term in the dividend by the highest order term in divisor .
--
+----+
--+
---
++-
--+

Step 13
Multiply the new quotient term by the divisor.
--
+----+
--+
---
++-
--+
--+

Step 14
The expression needs to be subtracted from the dividend, so change all the signs in
--
+----+
--+
---
++-
--+
++-

Step 15
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
--
+----+
--+
---
++-
--+
++-
--

Step 16
The final answer is the quotient plus the remainder over the divisor.


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