what do they mean by cellulose is a homopolymer whereas starch is a variant present in plants and glycogen is a variant present in animals?

Homopolymer means a molecule is made up single type of monomeric molecule that is repeated in sequence. Cellulose is a homopolymer because it is made up of glucose units only, which are arranged in a linear chain.
Starch and glycogen are considered as its variant in plants and animals because these are also made up of glucose units only but branched not linear.

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