Divide Using Long Polynomial Division (14x^6+6x^4-5x^2)/(7x^5+2x^3-3x)

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 ${\displaystyle 14x^6}$ by the highest order term in divisor ${\displaystyle 7x^5}$.

Multiply the new quotient term by the divisor.

The expression needs to be subtracted from the dividend, so change all the signs in ${\displaystyle 14x^6+0+4x^4+0-6x^2+0}$

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

Pull the next terms from the original dividend down into the current dividend.