Question 17

Jambmaths question: 

$\text{If }x-3\text{ divides }{{x}^{3}}-2{{x}^{2}}-x+6,\text{ find the remainder}$

Option A: 

27

Option B: 

9

Option C: 

12

Option D: 

18

Jamb Maths Solution: 

$\begin{align}  & f(x)={{x}^{3}}-2{{x}^{2}}-x+6 \\ & \text{When divided by }x-3 \\ & f(3)={{3}^{3}}-2({{3}^{2}})-3+6=12 \\ & \text{The remainder is 12} \\\end{align}$

Year of Exam: