WAEC Further Mathematics 2023 Objective — Question 6

Question 6 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

If h(x)=x^2+px+2 is divided by (x+3), the remainder is 5, find p.

A. 1
B. 2Correct
C. 3
D. 4

Explanation

By the remainder theorem, h(-3)=5 since the divisor is x-(-3). h(-3)=(-3)^2+p(-3)+2=5 => 9-3p+2=5 => -3p=-6 => p=2.

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