The coefficient of the underlined term of $p(x) = 7 - \underline{5x^4} - 2x^3 - x^2$ is $\ldots \ldots$

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$5 t^{2}+12 t+7$

The product of the zeros of the polynomial $x^{3}+4x^{2}+x-6$ is .............

The product of zeros of a cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$ is $\ldots \ldots \ldots$

For $p(x) = x^{2} - 2x - 3$,$p(3) = \ldots \ldots \ldots . .$

Prove that $-6, -\frac{1}{2}$ and $1$ are the zeros of the cubic polynomial $p(x) = 2x^3 + 11x^2 - 7x - 6$. Also,verify the relationship between the zeros and the coefficients.