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

Find the zeros of the quadratic polynomial $p(x) = 10x^2 - 14x - 12$ and also find the sum and the product of the zeros of the polynomial.

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.

The product of two polynomials is $x^{3}-3x^{2}-x+3$ and one of the polynomials is $x+1$. Find the other polynomial.

The graph of $p(x) = x^{2} + 5x + 6$ 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:
$y^{2}+\frac{3}{2} \sqrt{5} y-5$