Divide (8m^3+25m^2-26m+8)/(m+4)

Math
8m3+25m2-26m+8m+4
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
m+48m3+25m226m+8
Divide the highest order term in the dividend 8m3 by the highest order term in divisor m.
8m2
m+48m3+25m226m+8
Multiply the new quotient term by the divisor.
8m2
m+48m3+25m226m+8
+8m3+32m2
The expression needs to be subtracted from the dividend, so change all the signs in 8m3+32m2
8m2
m+48m3+25m226m+8
8m332m2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
8m2
m+48m3+25m226m+8
8m332m2
7m2
Pull the next terms from the original dividend down into the current dividend.
8m2
m+48m3+25m226m+8
8m332m2
7m226m
Divide the highest order term in the dividend -7m2 by the highest order term in divisor m.
8m27m
m+48m3+25m226m+8
8m332m2
7m226m
Multiply the new quotient term by the divisor.
8m27m
m+48m3+25m226m+8
8m332m2
7m226m
7m228m
The expression needs to be subtracted from the dividend, so change all the signs in -7m2-28m
8m27m
m+48m3+25m226m+8
8m332m2
7m226m
+7m2+28m
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
8m27m
m+48m3+25m226m+8
8m332m2
7m226m
+7m2+28m
+2m
Pull the next terms from the original dividend down into the current dividend.
8m27m
m+48m3+25m226m+8
8m332m2
7m226m
+7m2+28m
+2m+8
Divide the highest order term in the dividend 2m by the highest order term in divisor m.
8m27m+2
m+48m3+25m226m+8
8m332m2
7m226m
+7m2+28m
+2m+8
Multiply the new quotient term by the divisor.
8m27m+2
m+48m3+25m226m+8
8m332m2
7m226m
+7m2+28m
+2m+8
+2m+8
The expression needs to be subtracted from the dividend, so change all the signs in 2m+8
8m27m+2
m+48m3+25m226m+8
8m332m2
7m226m
+7m2+28m
+2m+8
2m8
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
8m27m+2
m+48m3+25m226m+8
8m332m2
7m226m
+7m2+28m
+2m+8
2m8
0
Since the remander is 0, the final answer is the quotient.
8m2-7m+2
Divide (8m^3+25m^2-26m+8)/(m+4)

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