Question 35

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Jambmaths question: 

Find the remainder when $3{{x}^{3}}+5{{x}^{2}}-11x+4$is divided by x + 3

Option A: 

–4

Option B: 

4

Option C: 

1

Option D: 

–1

Jamb Maths Solution: 

$\begin{align}  & \text{Let }f(x)=3{{x}^{3}}+5{{x}^{2}}-11x+4 \\ & \text{when }f(x)\text{ is divided by }x+3 \\ & \text{the remainder is }R=f(-3) \\ & f(-3)=3{{(-3)}^{3}}+5{{(-3)}^{2}}-11(-3)+4 \\ & f(-3)=-81+45+33+4 \\ & f(-3)=1 \\\end{align}$

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