JAMB Mathematics 2019 Objective — Question 6

Question 6 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

Find the remainder when 6p³−p²−47p+30 is divided by p−3

A. 63
B. 18
C. 21
D. 42Correct

Explanation

By the Remainder Theorem, the remainder when a polynomial is divided by p−3 is f(3): 6(3)³−(3)²−47(3)+30 = 162−9−141+30 = 42.

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