Draw the graph of $p(x) = 3 - 2x - x^2$ and find the zeros of this polynomial.

If $1$ and $3$ are the zeros of the polynomial $p(x) = 2x^4 - 7x^3 - 13x^2 + 63x - 45$,then find the remaining zeros of $p(x)$.

Find the number of real zeros of the following polynomial: $p(x) = x^{3} - 9x$.

Find the zeroes of the polynomial $x^{2}+\frac{1}{6} x-2,$ and verify the relation between the coefficients and the zeroes of the polynomial.

The degree of the polynomial $p(x) = 3x - x^4 + x^2 + 2x^3 + 7$ is ..........

Find the division of the following by synthetic division method: $p(x) = x^{4} + 1$ by $x + 1$.