Divide Using Long Polynomial Division (5x^3-18ix^2+4x+(7-3i))/(x-3i)


Step 1
Remove parentheses.

Step 2
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
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Step 3
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 4
Multiply the new quotient term by the divisor.
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+-

Step 5
The expression needs to be subtracted from the dividend, so change all the signs in
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-+

Step 6
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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-+
-

Step 7
Pull the next terms from the original dividend down into the current dividend.
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-+
-+

Step 8
Divide the highest order term in the dividend by the highest order term in divisor .
-
--++-
-+
-+

Step 9
Multiply the new quotient term by the divisor.
-
--++-
-+
-+
--

Step 10
The expression needs to be subtracted from the dividend, so change all the signs in
-
--++-
-+
-+
++

Step 11
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-
--++-
-+
-+
++
+

Step 12
Pull the next terms from the original dividend down into the current dividend.
-
--++-
-+
-+
++
++

Step 13
Divide the highest order term in the dividend by the highest order term in divisor .
-+
--++-
-+
-+
++
++

Step 14
Multiply the new quotient term by the divisor.
-+
--++-
-+
-+
++
++
+-

Step 15
The expression needs to be subtracted from the dividend, so change all the signs in
-+
--++-
-+
-+
++
++
-+

Step 16
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-+
--++-
-+
-+
++
++
-+
++

Step 17
The final answer is the quotient plus the remainder over the divisor.


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