Question
Find the remainder when x3 + 3x3 + 3x + 1 is divided by:
$\text{x}+\pi$
$\text{x}+\pi$
✓
Answer
Here,
f(x) = x3 + 3x2 + 3x + 1
By remainder theorem
$\text{x}+\pi=0$
$\Rightarrow\ \text{x}=-\pi$
Substitute the value of x in f(x)
$\text{f}(-\pi)=(-\pi)^3+3(-\pi)^2+3(-\pi)+1$
$=(-\pi)^3+3(-\pi)^2+3(-\pi)+1$
f(x) = x3 + 3x2 + 3x + 1
By remainder theorem
$\text{x}+\pi=0$
$\Rightarrow\ \text{x}=-\pi$
Substitute the value of x in f(x)
$\text{f}(-\pi)=(-\pi)^3+3(-\pi)^2+3(-\pi)+1$
$=(-\pi)^3+3(-\pi)^2+3(-\pi)+1$
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