Question 19

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Jambmaths question: 

Divide the expression ${{x}^{3}}+7{{x}^{2}}-x-7$ by ${{x}^{2}}-1$

Option A: 

$x-1$

Option B: 

$x+1$

Option C: 

$x-7$

Option D: 

$x+7$

Jamb Maths Solution: 

$\begin{align}  & {{x}^{2}}-1\overset{x+7}{\overline{\left){\begin{align}  & {{x}^{3}}+7{{x}^{2}}-x-7 \\ & \underline{{{x}^{3}}\text{         }-x} \\\end{align}}\right.}} \\ & \text{                 }7{{x}^{2}}-7 \\ & \text{          }\underline{\text{       }7{{x}^{2}}-7} \\ & \text{          }------ \\ & \frac{{{x}^{3}}+7{{x}^{2}}-x-7}{{{x}^{2}}-1}=x+7 \\\end{align}$

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