Jambmaths question:
Find the remainder when $2{{x}^{3}}-11x+8x-1$is divided by x + 3
Option A:
–871
Option B:
–781
Option C:
–187
Option D:
–178
Jamb Maths Solution:
$\begin{align} & \text{Let }f(x)=2{{x}^{3}}-11{{x}^{2}}+8x-1 \\ & \text{The remainder when }f(x)\text{ is divided by (}x+3)\text{ is the } \\ & \text{value of }f(-3) \\ & f(-3)=2{{(-3)}^{3}}-11{{(-3)}^{2}}+8(-3)-1 \\ & f(-3)=-54-99-24-1 \\ & f(-3)=-178 \\\end{align}$
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