. A. He was a professor of mathematics at Cambridge University. - yes, this it true! (his position was called Lucasian Professor of Mathematics)
B. In his book, Mathematical Principles of Natural Philosophy, Newton laid
out three laws of motion that are still the basis for studying how
things move. - this is correct! those laws are known as Newton's laws of motion.
C.As Newton went on developing his ideas
in astronomy, mathematics, and physics, he became very unpopular and was
often ridiculed for his works. -this is a complicated question: Newton's work was accepted, but he had a difficult personality, which made him rather unpopular- so I would mark the whole statement as also true.