Your plant appears to by a sago palm (Cycas revoluta). Although these plants look like palms, they actually belong to an ancient group of vascular plants known as cycads. Here is a link to information about this group: http://wimastergardener.org/article/cycad. Sago palms often exhibit yellowing of the leaves due to a nutrient deficiency. This can be remedied with proper fertilization. See this publication for details: www.clemson.edu/extension/hgic/plants/landscape/trees/hgic1019.html
However, be sure to examine you plant closely because other factors, such as scale and spider mites can also contribute to leaf yellowing.