Find the Quotient (2x^4-3x^3-6x^2+11x+8)÷(x-2)


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 .
+
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+-

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

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

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

Step 11
Pull the next terms from the original dividend down into the current dividend.
+
---++
-+
+-
-+
-+

Step 12
Divide the highest order term in the dividend by the highest order term in divisor .
+-
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-+
+-
-+
-+

Step 13
Multiply the new quotient term by the divisor.
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---++
-+
+-
-+
-+
-+

Step 14
The expression needs to be subtracted from the dividend, so change all the signs in
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-+
+-
-+
-+
+-

Step 15
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+-
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-+
+-
-+
-+
+-
+

Step 16
Pull the next terms from the original dividend down into the current dividend.
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-+
+-
-+
-+
+-
++

Step 17
Divide the highest order term in the dividend by the highest order term in divisor .
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-+
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++

Step 18
Multiply the new quotient term by the divisor.
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+-

Step 19
The expression needs to be subtracted from the dividend, so change all the signs in
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---++
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+-
-+
-+
+-
++
-+

Step 20
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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++
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Step 21
The quotient is .


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