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

Math
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+18m2+4m12
Divide the highest order term in the dividend 8m2 by the highest order term in divisor 2m.
4m
2m+18m2+4m12
Multiply the new quotient term by the divisor.
4m
2m+18m2+4m12
+8m2+4m
The expression needs to be subtracted from the dividend, so change all the signs in 8m2+4m
4m
2m+18m2+4m12
8m24m
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
4m
2m+18m2+4m12
8m24m
0
Pull the next term from the original dividend down into the current dividend.
4m
2m+18m2+4m12
8m24m
012
The final answer is the quotient plus the remainder over the divisor.
4m-122m+1
Divide (8m^2+4m-12)/(2m+1)

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