Finite Math Examples

Divide Using Long Polynomial Division
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
+++-
Divide the highest order term in the dividend by the highest order term in divisor .
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Multiply the new quotient term by the divisor.
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++
The expression needs to be subtracted from the dividend, so change all the signs in
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--
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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--
+
Pull the next terms from the original dividend down into the current dividend.
+++-
--
++
Divide the highest order term in the dividend by the highest order term in divisor .
+
+++-
--
++
Multiply the new quotient term by the divisor.
+
+++-
--
++
++
The expression needs to be subtracted from the dividend, so change all the signs in
+
+++-
--
++
--
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+
+++-
--
++
--
-
Pull the next terms from the original dividend down into the current dividend.
+
+++-
--
++
--
--
Divide the highest order term in the dividend by the highest order term in divisor .
+-
+++-
--
++
--
--
Multiply the new quotient term by the divisor.
+-
+++-
--
++
--
--
--
The expression needs to be subtracted from the dividend, so change all the signs in
+-
+++-
--
++
--
--
++
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+-
+++-
--
++
--
--
++
Since the remander is , the final answer is the quotient.
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