If $4$ is a zero of the cubic polynomial $x^3-3x^2-10x+24$, find its other two zeroes.

Obtain all other zeroes of  $3x^4+6x^3-2x^2-10x-5$, if two of its zeroes are $\sqrt{\frac{5}{3}}$ and $-\sqrt{\frac{5}{3}}$.

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 $\left(2-\sqrt{3}\right)$.

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

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

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

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

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

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