From the following figure,find the number of real zeros of $y=p(x)$:

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

Obtain the sum and the product of the zeros of the following quadratic polynomial without finding the zeros: $3x^2 + x - 4$.

The zero of $p(x) = -x^2 + 2x - 1$ is..........

Divide $x^{3}-6 x^{2}+11 x-6$ by $x^{2}+x+1$.

Answer the following and justify: Can $x^{2}-1$ be the quotient on division of $x^{6}+2 x^{3}+x-1$ by a polynomial in $x$ of degree $5$?