1) Heritable 2) Inheritable 
A character controlled by many genes. 
• (a.) Of or relating to polygeny; polygenetic.
Hereditary variations in a trait/s that are due to the influence of many genes at many loci.
Controlled by or associated with more than one gene.
<genetics> Pertaining to the combined action of alleles of more than one gene. Height is an example of a polygenic trait, as are predispositions to different types of heart disease. ... Origin: Gr. Gennan = to produce ... (14 Nov 1997) ... 
(pol″e-jen´ik) pertaining to or determined by multiple different genes.
Governed by several or many genes. (See also monogenic and oligogenic).Something that is controlled or caused by the action of many genes. Thus many of the major non-infectious diseases (for example arthritis, cardiovascular disease, asthma, diabetes) are likely to be caused by the interaction of many genes; no single gene mutation is responsible, rather the coincidence of polymorphic variants that together contribute risk factors that predispose an individual to the disease.
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Pol`y·gen'ic (-jĕn'ĭk) adjective (Biol.) Of or relating to polygeny; polygenetic. 
Type: Term Pronunciation: pol′ē-jen′ik Definitions: 1. Relating to a hereditary disease or normal characteristic controlled by the added effects of genes at multiple loci.
Polygenic: Pertaining to two or more genes. As opposed to monogenic. Eye color is polygenic. It is by determined by a number of genes.
[adj] - (genetics) of or relating to an inheritable character that is controlled by several genes at once
adjective of or relating to an inheritable character that is controlled by several genes at once; of or related to or determined by polygenes