The sum of the zeros of $p(x) = 4x^2 + 12x + 5$ is.........

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

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

Is the following statement True or False? Justify your answer. If the zeroes of a quadratic polynomial $ax^2 + bx + c$ are both negative,then $a, b,$ and $c$ all have the same sign.

Obtain the quadratic or the cubic polynomial as the case may be in the standard form with the following coefficients: $a=6, b=-7, c=-3$.

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$v^{2}+4 \sqrt{3} v-15$