# Divide (5x^2+18x+6)÷(x+3) (5×2+18x+6)÷(x+3)
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 x + 3 5×2 + 18x + 6
Divide the highest order term in the dividend 5×2 by the highest order term in divisor x.
 5x x + 3 5×2 + 18x + 6
Multiply the new quotient term by the divisor.
 5x x + 3 5×2 + 18x + 6 + 5×2 + 15x
The expression needs to be subtracted from the dividend, so change all the signs in 5×2+15x
 5x x + 3 5×2 + 18x + 6 – 5×2 – 15x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 5x x + 3 5×2 + 18x + 6 – 5×2 – 15x + 3x
Pull the next terms from the original dividend down into the current dividend.
 5x x + 3 5×2 + 18x + 6 – 5×2 – 15x + 3x + 6
Divide the highest order term in the dividend 3x by the highest order term in divisor x.
 5x + 3 x + 3 5×2 + 18x + 6 – 5×2 – 15x + 3x + 6
Multiply the new quotient term by the divisor.
 5x + 3 x + 3 5×2 + 18x + 6 – 5×2 – 15x + 3x + 6 + 3x + 9
The expression needs to be subtracted from the dividend, so change all the signs in 3x+9
 5x + 3 x + 3 5×2 + 18x + 6 – 5×2 – 15x + 3x + 6 – 3x – 9
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 5x + 3 x + 3 5×2 + 18x + 6 – 5×2 – 15x + 3x + 6 – 3x – 9 – 3
The final answer is the quotient plus the remainder over the divisor.
5x+3-3x+3
Divide (5x^2+18x+6)÷(x+3)     