Concept:By the Remainder Theorem, the remainder on dividing f(r) by r−2s is f(2s).Explanation:Let f(r)=3r3−2r2s−13rs2+10s3.Since r−2s=0 gives r=2s, find f(2s).f(2s)=3(2s)3−2(2s)2s−13(2s)s2+10s3.=3(8s3)−2(4s2)s−13(2s)s2+10s3.=24s3−8s3−26s3+10s3.=0.Answer:The remainder is 0, so the correct option is A.