Algebra Examples

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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.
-
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-++
--+
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 term 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.
-+
+++++-
---
-++
++-
++-
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The final answer is the quotient plus the remainder over the divisor.
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