Explanation:

Carbohydrates are organic compounds composed of carbon, hydrogen, and oxygen atoms. They are classified into three main groups based on their molecular structure: monosaccharides, disaccharides, and polysaccharides. Polysaccharides are complex carbohydrates composed of long chains of monosaccharide units.

Branched Polymers of Glucose:
Branched polymers of glucose are polysaccharides in which the glucose units are linked together in a branched structure. The two carbohydrates that are branched polymers of glucose are amylopectin and glycogen.

Amylopectin:
Amylopectin is a polysaccharide found in plants and is the major component of starch. It is made up of long chains of glucose units that are connected by α-1,4-glycosidic bonds. However, amylopectin also contains α-1,6-glycosidic bonds, which create branches in the molecule. These branches allow for easy access to the enzymes that break down the molecule, making it a good storage form of glucose in plants.

Glycogen:
Glycogen is the storage form of glucose in animals and humans. It is primarily stored in the liver and muscles. Similar to amylopectin, glycogen is composed of long chains of glucose units connected by α-1,4-glycosidic bonds. It also contains α-1,6-glycosidic bonds, which create branches in the molecule. The branches in glycogen allow for rapid release of glucose when energy is needed.

Other Carbohydrates:
Amylose is a linear polysaccharide made up of glucose units connected by α-1,4-glycosidic bonds. It does not contain branches and is the other major component of starch. Cellulose is also a linear polysaccharide composed of glucose units connected by β-1,4-glycosidic bonds. It is a major component of the cell walls in plants and provides structural support.

Conclusion:
In summary, the branched polymers of glucose are amylopectin and glycogen. These polysaccharides contain branches created by α-1,6-glycosidic bonds, which allow for efficient storage and release of glucose. Amylose and cellulose, on the other hand, are linear polysaccharides without branches.