# Divide (5x^2+14x+3)÷(x+2) (5×2+14x+3)÷(x+2)
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 x + 2 5×2 + 14x + 3
Divide the highest order term in the dividend 5×2 by the highest order term in divisor x.
 5x x + 2 5×2 + 14x + 3
Multiply the new quotient term by the divisor.
 5x x + 2 5×2 + 14x + 3 + 5×2 + 10x
The expression needs to be subtracted from the dividend, so change all the signs in 5×2+10x
 5x x + 2 5×2 + 14x + 3 – 5×2 – 10x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 5x x + 2 5×2 + 14x + 3 – 5×2 – 10x + 4x
Pull the next terms from the original dividend down into the current dividend.
 5x x + 2 5×2 + 14x + 3 – 5×2 – 10x + 4x + 3
Divide the highest order term in the dividend 4x by the highest order term in divisor x.
 5x + 4 x + 2 5×2 + 14x + 3 – 5×2 – 10x + 4x + 3
Multiply the new quotient term by the divisor.
 5x + 4 x + 2 5×2 + 14x + 3 – 5×2 – 10x + 4x + 3 + 4x + 8
The expression needs to be subtracted from the dividend, so change all the signs in 4x+8
 5x + 4 x + 2 5×2 + 14x + 3 – 5×2 – 10x + 4x + 3 – 4x – 8
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 5x + 4 x + 2 5×2 + 14x + 3 – 5×2 – 10x + 4x + 3 – 4x – 8 – 5
The final answer is the quotient plus the remainder over the divisor.
5x+4-5x+2
Divide (5x^2+14x+3)÷(x+2)     