Divide (8m^2+4m-12)/(2m+1)

8m2+4m-122m+1
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 2m + 1 8m2 + 4m – 12
Divide the highest order term in the dividend 8m2 by the highest order term in divisor 2m.
 4m 2m + 1 8m2 + 4m – 12
Multiply the new quotient term by the divisor.
 4m 2m + 1 8m2 + 4m – 12 + 8m2 + 4m
The expression needs to be subtracted from the dividend, so change all the signs in 8m2+4m
 4m 2m + 1 8m2 + 4m – 12 – 8m2 – 4m
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 4m 2m + 1 8m2 + 4m – 12 – 8m2 – 4m 0
Pull the next term from the original dividend down into the current dividend.
 4m 2m + 1 8m2 + 4m – 12 – 8m2 – 4m 0 – 12
The final answer is the quotient plus the remainder over the divisor.
4m-122m+1
Divide (8m^2+4m-12)/(2m+1)