Divide (b^3+4b^2+1)/(b+4)

Math
b3+4b2+1b+4
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
b+4b3+4b2+0b+1
Divide the highest order term in the dividend b3 by the highest order term in divisor b.
b2
b+4b3+4b2+0b+1
Multiply the new quotient term by the divisor.
b2
b+4b3+4b2+0b+1
+b3+4b2
The expression needs to be subtracted from the dividend, so change all the signs in b3+4b2
b2
b+4b3+4b2+0b+1
b34b2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
b2
b+4b3+4b2+0b+1
b34b2
0
Pull the next term from the original dividend down into the current dividend.
b2
b+4b3+4b2+0b+1
b34b2
0+0b+1
The final answer is the quotient plus the remainder over the divisor.
b2+1b+4
Divide (b^3+4b^2+1)/(b+4)

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