Verify whether the following are zeroes of the polynomial indicated against them:
$p(x) = x^{2} - 1, x = 1, -1$

(A) To verify if $x = 1$ and $x = -1$ are zeroes of the polynomial $p(x) = x^{2} - 1$,we evaluate the polynomial at these values.
For $x = 1$:
$p(1) = (1)^{2} - 1 = 1 - 1 = 0$
For $x = -1$:
$p(-1) = (-1)^{2} - 1 = 1 - 1 = 0$
Since $p(1) = 0$ and $p(-1) = 0$,both $x = 1$ and $x = -1$ are zeroes of the given polynomial $p(x) = x^{2} - 1$.