Divide Using Long Polynomial Division (6x^4-12x^3+5x^2+4x+5)/(3x^2+1)

Math
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
+++++
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
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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.
+++++
++
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.
+++++
++
++
++
Pull the next terms 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.
+
+++++
++
++
+++
++
The final answer is the quotient plus the remainder over the divisor.
Divide Using Long Polynomial Division (6x^4-12x^3+5x^2+4x+5)/(3x^2+1)


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