The number of the zeros of $p(x) = x^{2} - 9$ is............

The degree of $p(x) = \dots$ is $5$. Which of the following polynomials satisfies this condition?

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

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$2x^2 + \frac{7}{2}x + \frac{3}{4}$

Divide the following by the synthetic division method: $p(x) = x^{4} - 1$ by $x - 1$.

Obtain a quadratic polynomial $p(x) = ax^2 + bx + c$,where the sum of zeros is $\sqrt{2}$ and the product of zeros is $\frac{1}{3}$,given that $a < 0$.