Find the number of real zeros of the following polynomial: $p(x) = 4x^2 + 11x + 10$.

If the zeros of the cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$ ($a \neq 0$; $a, b, c, d \in R$) are $\alpha, \beta$,and $\gamma$,then $\alpha^2 \beta \gamma + \alpha \beta^2 \gamma + \alpha \beta \gamma^2 = \dots$

$A$ dealer bought $x^{2}+2x+3$ pieces of mobiles for Rs. $x^{3}+6x^{2}+11x+12$. Find the price of one mobile.

Obtain the value of the following polynomial at the given value of $x$: $p(x) = 2x^4 - x^2 + 5x - 8$ at $x = -3$.

The graph of $p(x) = x^{2} + 6x + 8$ is a ........

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$y^{2}+\frac{3}{2} \sqrt{5} y-5$