Verify if on dividing $34x-22x^3-12x^4-10x^2-75$ by $3x+7$ we get quotient $-4x^3+2x^2-8x+30$ and remainder $-285$.

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

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

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.