Reconstructing polynomial equations from given roots, multiplicities, and key points — IITM BS previous year questions

Reconstructing polynomial equations from given roots, multiplicities, and key points is part of Polynomial Creation and Fitting, Week 4 in Mathematics 1. Prasnya files every IIT Madras BS previous year question from this subtopic here, each one with a worked explanation. Take the whole set as a timed mock and you get accuracy, pacing and per-question analysis back.