Answer:
Yes.
Step-by-step explanation:
We want to determine if (<em>x</em> + 1) is a factor of the polynomial:

According to the Factor Theorem, if a binomial in the form (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x), then P(a) must equal zero.
Our binomial factor is (<em>x</em> + 1) or (<em>x</em> - (-1)). Hence, <em>a</em> = -1.
Let our polynomial be P(x). Find P(-1):

Therefore, since the resulting value is indeed zero, (<em>x</em> + 1) is indeed a factor of the given polynomial.
In conclusion: yes.