Divide Using Long Polynomial Division (2x^3+x^4-6x^2+11x-10)÷(x^2+2-x)

Reorder and .
Move .
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 .
 – + + – + –
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.
 + – – + + – + – – + – + – + – + – – + – + – +
Since the remander is , the final answer is the quotient.
Divide Using Long Polynomial Division (2x^3+x^4-6x^2+11x-10)÷(x^2+2-x)