Question
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + $\pi$
✓
Answer
Let p(x) = x3 + 3x2 + 3x + 1
x + $\pi$ = 0
$\Rightarrow$ x = -$\pi$
$\therefore$ Remainder = (-$\pi$)3 + 3(-$\pi$)2 + 3(-$\pi$) + 1 = $-\pi ^3$ + 3$\pi^2$ - 3$\pi$ + 1
x + $\pi$ = 0
$\Rightarrow$ x = -$\pi$
$\therefore$ Remainder = (-$\pi$)3 + 3(-$\pi$)2 + 3(-$\pi$) + 1 = $-\pi ^3$ + 3$\pi^2$ - 3$\pi$ + 1
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