State the degree of the given polynomial: $p(x) = \frac{7}{2} x - 9$

If $\frac{1}{3}$ is a zero of $p(x) = 3x^2 - 10x + 3$,then the other zero is ...........

If the remainder on division of $x^{3}+2 x^{2}+k x+3$ by $x-3$ is $21$,find the quotient and the value of $k$. Hence,find the zeroes of the cubic polynomial $x^{3}+2 x^{2}+k x-18$.

Obtain a quadratic polynomial with the following conditions:
The sum of the zeros $= -\frac{1}{4}$;
The product of the zeros $= \frac{1}{4}$.

The product of the zeros of a quadratic polynomial $p(x) = x^{2} + 5x + 6$ is.........

If $\sqrt{2}$ and $-\sqrt{2}$ are the zeros of $p(x) = 2x^{4} + 7x^{3} - 19x^{2} - 14x + 30$,then find the other zeros of $p(x)$.