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