If $\sqrt{2}$ and $-\sqrt{2}$ are zeros of the polynomial $f\left(x\right)=2x^4-3x^3-3x^2+6x-2$, then find the sum of all other zeros.

Following polynomial $P\left(x\right)$ is divided by $S\left(x\right)$. Obtain quotient and remainder.

$P\left(x\right)=\frac{2}{3}{x}^2+5x+6, S\left(x\right)=x+6$

Divide the polynomial $p\left(x\right)$ by the polynomial $q\left(x\right)$ and find the quotient and remainder:

$p\left(x\right)=x^3-3x^2+5x-3$ and $q\left(x\right)=x^2-2$

Divide the polynomial $p\left(x\right)$ by the polynomial $g\left(x\right)$, and find the quotient and the remainder.

$p\left(x\right)=x^4-5x+6, g\left(x\right)=2-x^2$

Divide the polynomial $p\left(x\right)=x^3-3x^2+5x-3$ by the polynomial $g\left(x\right)=x^2-2$. Find the quotient and remainder.

Find all zeroes of the polynomial $\left(2x^4-9x^3+5x^2+3x-1\right)$ if two of its zeroes are $\left(2+\sqrt{3}\right)$ and $\left(2-\sqrt{3}\right)$.

Find the quotient and the remainder when $P\left(x\right)=3x^3+x^2+2x+5$ is divided by $g\left(x\right)=x^2+2x+1$.

Divide the polynomial $f\left(x\right)=3x^2-x^3-3x+5$ by the polynomial $g\left(x\right)x-1-x^2$and verify the division algorithm

Find the quotient and the remainder when $f\left(x\right)=2x^3-3x^2+5x-7$ is divided by $g\left(x\right)=\left(x-3\right)$ using synthetic division.

Divide the polynomial $p\left(x\right)=x^3-3x^2+5x-3$ by the polynomial $g\left(x\right)=x^2-2$. Find the quotient and remainder.

On dividing   $x^3-3x^2+x+2$ by a polynomial $g\left(x\right)$ ,the quotient and remainder were, $\left(x-2\right), \left(-2x+4\right)$ respectively. Find $g\left(x\right)$.

By using division algorithm method find quotient and remainder when polynomial $P\left(x\right)=x^4-3x^2+4x-3\text{ is divided by }g\left(x\right)=x^2+1-x$