From the following polynomials,find out which of them has $(x+1)$ as a factor:
$p(x) = x^{3} - 5x^{2} + 2x + 8$

(A) To check if $(x+1)$ is a factor of $p(x) = x^{3} - 5x^{2} + 2x + 8$,we use the Factor Theorem.
According to the Factor Theorem,$(x+1)$ is a factor of $p(x)$ if $p(-1) = 0$.
Substitute $x = -1$ into the polynomial:
$p(-1) = (-1)^{3} - 5(-1)^{2} + 2(-1) + 8$
$p(-1) = -1 - 5(1) - 2 + 8$
$p(-1) = -1 - 5 - 2 + 8$
$p(-1) = -8 + 8 = 0$
Since $p(-1) = 0$,$(x+1)$ is a factor of the given polynomial.