The maximum number of zeros of a polynomial having degree $k+1$ can be........

For each of the following,find a quadratic polynomial whose sum and product of the zeroes are $\frac{21}{8}$ and $\frac{5}{16}$ respectively. Also,find the zeroes of these polynomials by factorisation.

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

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$7 y^{2}-\frac{11}{3} y-\frac{2}{3}$

If two zeros of the polynomial $p(x) = x^3 + x^2 - 5x - 5$ are $\sqrt{5}$ and $-\sqrt{5}$,then the third zero is . . . . . . .

The product of the zeros of a quadratic polynomial $p(x) = 3x^2 + 7x + 4$ is..........