Concept:The Remainder Theorem states that when a polynomial f(p) is divided by (p−a), the remainder is f(a).Explanation:Let f(p)=6p3−p2−47p+30.Here the divisor is (p−3), so a=3.Therefore, the remainder is R=f(3).Substitute p=3 into f(p):R=6(3)3−(3)2−47(3)+30R=6(27)−9−141+30R=162−9−141+30So, R=42.Answer:42