Final answer:
Neutrophils and monocytes are the two phagocytic white blood cells that engulf foreign cells and material. The correct answer to the student's question is option B.
Step-by-step explanation:
The two white blood cells that are phagocytic and have the capability to engulf foreign cells and materials are neutrophils and monocytes. Neutrophils are the most abundant leukocytes in the immune system and have a multi-lobed nucleus and lysosomes for digesting pathogens. Monocytes, when they enter tissues, become macrophages or dendritic cells, which are both effective phagocytes as well. Therefore, the answer to the student's question is B) Neutrophils and Monocytes.