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Find the remainder when $x^{2}-2 x-3$ is divided by $x+1$ using the Remainder Theorem.
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Let $f(x)=x^{2}-2 x-3$
$x+1 \longmapsto x=-1$
$f(-1)=$ ?
$f(x)=x^{2}-2 x-3$
$f(-1)=(-1)^{2}-2(-1)-3$
$f(-1)=1+2-3$
$f(-1)=0$
Hence, the remainder is 0 .
by Diamond (55,179 points)

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