Find the zero of the polynomial: $p(x) = x - 5$.

Determine which of the following polynomials has $(x + 1)$ as a factor: $x^{3} + x^{2} + x + 1$.

Verify whether the following is a zero of the polynomial indicated against it:
$p(x) = x^{2}, \, x = 0$

Write the following cube in the expanded form: $(3a + 4b)^3$

Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases: $p(x) = x^3 + 3x^2 + 3x + 1$,$g(x) = x + 2$.

Find the zero of the polynomial: $p(x) = x + 5$