# Divide Using Long Polynomial Division (3x^3-11x^2-26x+30)÷(x-5)

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 .
 – – – +
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.
 + – – – + – + + – – + –
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 (3x^3-11x^2-26x+30)÷(x-5)