A polynomial of a degree is called a linear polynomial

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.

The graph of $y= p\left(x\right)$ is given, Find the number of zeroes of $p\left(x\right)$.

Find the zeroes of the quadratic polynomial $3x^2-x-4$ and verify the relationship between the zeroes and the coefficients.