Answer
For the long division problem $x+4\overline{\left){6x-4+2{{x}^{3}}}\right.}$ , begin the division process by rewriting the dividend as $2{{x}^{3}}+0{{x}^{2}}+6x-4$.
Work Step by Step
Consider,
$x+4\overline{\left){6x-4+2{{x}^{3}}}\right.}$
We know that according to the general procedure for dividing one polynomial by another, we need to arrange the terms of the dividend and divisor in descending powers of $x$.
So, the dividend $6x-4+2{{x}^{3}}$, which is not in descending powers of $x$ is replaced with:
$2{{x}^{3}}+0{{x}^{2}}+6x-4$.
