Divide (12m^2+57+66)÷(4m+11)

Math
(12m2+57+66)÷(4m+11)
Add 57 and 66.
12m2+1234m+11
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
4m+1112m2+0m+123
Divide the highest order term in the dividend 12m2 by the highest order term in divisor 4m.
3m
4m+1112m2+0m+123
Multiply the new quotient term by the divisor.
3m
4m+1112m2+0m+123
+12m2+33m
The expression needs to be subtracted from the dividend, so change all the signs in 12m2+33m
3m
4m+1112m2+0m+123
12m233m
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3m
4m+1112m2+0m+123
12m233m
33m
Pull the next terms from the original dividend down into the current dividend.
3m
4m+1112m2+0m+123
12m233m
33m+123
Divide the highest order term in the dividend -33m by the highest order term in divisor 4m.
3m334
4m+1112m2+0m+123
12m233m
33m+123
Multiply the new quotient term by the divisor.
3m334
4m+1112m2+0m+123
12m233m
33m+123
33m3634
The expression needs to be subtracted from the dividend, so change all the signs in -33m-3634
3m334
4m+1112m2+0m+123
12m233m
33m+123
+33m+3634
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3m334
4m+1112m2+0m+123
12m233m
33m+123
+33m+3634
+8554
The final answer is the quotient plus the remainder over the divisor.
3m-334+8554(4m+11)
Divide (12m^2+57+66)÷(4m+11)

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