Final answer:
The AX_3 molecule with one unshared pair of electrons has a tetrahedral electron-pair geometry and a trigonal pyramidal molecular structure, and it is polar.
Step-by-step explanation:
For a molecule with the formula AX_3 and one unshared pair of electrons on the central atom A, there are four regions of electron density (three bonded pairs and one lone pair). This matches the electron-pair geometry known as tetrahedral. However, with one lone pair present, the actual molecular structure becomes trigonal pyramidal rather than tetrahedral. In terms of polarity, the presence of a lone pair of electrons creates an asymmetry in the molecule's shape, leading to an uneven distribution of charge. As a result, the molecule will be polar, making the correct answer (D) Tetrahedral, polar.