The zeros of $p(x) = x^{2} + 4x + 3$ are.........

Answer the following and justify:
If on division of a polynomial $p(x)$ by a polynomial $g(x)$,the quotient is zero,what is the relation between the degrees of $p(x)$ and $g(x)$?

If the zeroes of the quadratic polynomial $ax^{2} + bx + c, c \neq 0$ are equal,then

The zero of the linear polynomial $p(x) = ax + b$ is $\ldots \ldots \ldots \ldots$ $(a, b \neq 0)$.

Identify the type of the given polynomial based on its degree: $p(x) = 2012x + 2011$.

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial: $4x^2 - 3x - 1$