Algebra Examples

,
Divide the first expression by the second expression.
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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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.
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--
-+
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.
-
+-+-
--
-+
--
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.
-+
+-+-
--
-+
++
+-
--
-
The final answer is the quotient plus the remainder over the divisor.
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