The zero of the linear polynomial $p(x) = \sqrt{3}x - 3$ is ............

Obtain the sum and the product of the zeros of the following quadratic polynomial without finding the zeros: $3x^2 + x - 4$.

Obtain the quadratic polynomial in the standard form with the following coefficients: $a=1, b=-10, c=25$.

Find the zeros of the following quadratic polynomial: $5x^2 + 8x + 3$.

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.

Factorize the following polynomial: $p(x) = 25x^2 - 40x + 16$.