Divide Using Long Polynomial Division (x^2-3x+1)/(x-4)


Step 1
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 2
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 3
Multiply the new quotient term by the divisor.
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+-

Step 4
The expression needs to be subtracted from the dividend, so change all the signs in
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-+

Step 5
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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-+
+

Step 6
Pull the next terms from the original dividend down into the current dividend.
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++

Step 7
Divide the highest order term in the dividend by the highest order term in divisor .
+
--+
-+
++

Step 8
Multiply the new quotient term by the divisor.
+
--+
-+
++
+-

Step 9
The expression needs to be subtracted from the dividend, so change all the signs in
+
--+
-+
++
-+

Step 10
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+
--+
-+
++
-+
+

Step 11
The final answer is the quotient plus the remainder over the divisor.


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