Divide Using Long Polynomial Division (12x^4-8x^3+11)/(-12x^4)

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of ${\displaystyle 0}$.

Divide the highest order term in the dividend ${\displaystyle 12x^4}$ by the highest order term in divisor ${\displaystyle -12x^4}$.

Multiply the new quotient term by the divisor.

The expression needs to be subtracted from the dividend, so change all the signs in ${\displaystyle 12x^4+0+0+0+0}$

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.