Jambmaths question:
10. If $6{{x}^{3}}+2{{x}^{2}}-5x+1$ divides ${{x}^{2}}-x-1$ ,find the remainder
Option A:
9x +9
Option B:
2x +6
Option C:
6x +8
Option D:
5x - 3
Jamb Maths Solution:
$\begin{align} & {{x}^{2}}-x-1\overset{6x+8}{\overline{\left){\begin{align} & 6{{x}^{3}}+2{{x}^{2}}-5x+1 \\ & \underline{6{{x}^{3}}-6{{x}^{2}}-6x} \\ & \text{ }8{{x}^{2}}+x+1 \\ & \text{ }\underline{\text{ }8{{x}^{2}}-8x-8} \\\end{align}}\right.}} \\ & \text{ }9x+9 \\ & \text{The remainder is }9x+9 \\\end{align}$
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