Divide Using Long Polynomial Division Use the long division method to find the result when x^3-10x^2+14x+21 is divided by x-3

Use the long division method to find the result when is divided by

Step 1
Write the problem as a mathematical expression.
Use the long division method to find the result when

Step 2
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 3
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 4
Multiply the new quotient term by the divisor.
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+-

Step 5
The expression needs to be subtracted from the dividend, so change all the signs in
--++
-+

Step 6
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
--++
-+
-

Step 7
Pull the next terms from the original dividend down into the current dividend.
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-+
-+

Step 8
Divide the highest order term in the dividend by the highest order term in divisor .
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--++
-+
-+

Step 9
Multiply the new quotient term by the divisor.
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--++
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-+
-+

Step 10
The expression needs to be subtracted from the dividend, so change all the signs in
-
--++
-+
-+
+-

Step 11
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-
--++
-+
-+
+-
-

Step 12
Pull the next terms from the original dividend down into the current dividend.
-
--++
-+
-+
+-
-+

Step 13
Divide the highest order term in the dividend by the highest order term in divisor .
--
--++
-+
-+
+-
-+

Step 14
Multiply the new quotient term by the divisor.
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--++
-+
-+
+-
-+
-+

Step 15
The expression needs to be subtracted from the dividend, so change all the signs in
--
--++
-+
-+
+-
-+
+-

Step 16
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
--
--++
-+
-+
+-
-+
+-

Step 17
Since the remander is , the final answer is the quotient.


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