Divide Using Long Polynomial Division 9x^3-12x^2-11x-19 divided by 3x-5

divided by

Step 1
Write the problem as a mathematical expression.

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 .
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-+
+-

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

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

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

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 .
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----
-+
+-
-+
--

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

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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