Triangles showing up in my render? (i'm a brand new blender user)

Hello, I’m new to blender and I’m wondering if anyone can help me render this model out a little smoother? I’m getting these little triangles on the “neck”. I am using a transparent/reflective material and the whole mesh is being smoothed with the shading-smooth selected. The top of the head looks right but the neck gets these triangles in it. It is all one object. Is there some additional things I could do to smooth it out or do I need to alter my mesh? Any help would be appreciated.