MATHEMATICS
JAMB 2013 - Question 13
Mathematics 2013 JAMB Past Questions - Question 13: the remainder when 6p - p² - 47p + 30 is divided by p – 3
A:
B:
C:
D:
Correct Answer
D
Explanation
let f(p) = 6p3 - p2 - 47p +30then by the remainder theorem,(p-3):f(3) = remainder Ri.e. f(3) = 6(3)3 - (3)2 -47(30 +30 =R 162 - 9 - 141 +30 = R 192 - 150 = Rtherefore R = 42To find the remainder when 6p - p² - 47p + 30 is divided by p - 3, we can use polynomial long division.Let's perform the division:``` 6 ___________p - 3 | -p² - 47p + 6p + 30 p² - 3p ___________ -44p + 30```The remainder is -44p + 30.Therefore, the remainder when 6p - p² - 47p + 30 is divided by p - 3 is -44p + 30.
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