Use the remainder theorem to completely factor p(x) = x 3 + 7x 2 + 11x + 5.

If you're going to use "technology" () to answer these for you, it might be a lot easier just to graph it with your calculator. The factorization is
.. p(x) = (x +5)(x +1)^2

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The fact that the curve touches, but does not cross, y=0 at x=-1 means the root there is repeated.