The graph of a linear polynomial is a $\ldots \ldots \ldots . . . .$

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 $p(x)$.

Answer the following and justify: If on division of a non-zero polynomial $p(x)$ by a polynomial $g(x)$,the remainder is zero,what is the relation between the degrees of $p(x)$ and $g(x)$?

As per the given figure,the graph of $y=p(x)$ has $\ldots \ldots$ real zeros.

Examine the validity of the following statement: $(x+3)$ is a factor of $(x^{2}+10x+21)$.

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$y^{2}+\frac{3}{2} \sqrt{5} y-5$