# Divide (5x^2-17x+5)/(x-4) 5×2-17x+5x-4
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 x – 4 5×2 – 17x + 5
Divide the highest order term in the dividend 5×2 by the highest order term in divisor x.
 5x x – 4 5×2 – 17x + 5
Multiply the new quotient term by the divisor.
 5x x – 4 5×2 – 17x + 5 + 5×2 – 20x
The expression needs to be subtracted from the dividend, so change all the signs in 5×2-20x
 5x x – 4 5×2 – 17x + 5 – 5×2 + 20x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 5x x – 4 5×2 – 17x + 5 – 5×2 + 20x + 3x
Pull the next terms from the original dividend down into the current dividend.
 5x x – 4 5×2 – 17x + 5 – 5×2 + 20x + 3x + 5
Divide the highest order term in the dividend 3x by the highest order term in divisor x.
 5x + 3 x – 4 5×2 – 17x + 5 – 5×2 + 20x + 3x + 5
Multiply the new quotient term by the divisor.
 5x + 3 x – 4 5×2 – 17x + 5 – 5×2 + 20x + 3x + 5 + 3x – 12
The expression needs to be subtracted from the dividend, so change all the signs in 3x-12
 5x + 3 x – 4 5×2 – 17x + 5 – 5×2 + 20x + 3x + 5 – 3x + 12
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 5x + 3 x – 4 5×2 – 17x + 5 – 5×2 + 20x + 3x + 5 – 3x + 12 + 17
The final answer is the quotient plus the remainder over the divisor.
5x+3+17x-4
Divide (5x^2-17x+5)/(x-4)     