Question

find the remainder when x3+3x+1is divided by( i) x+1​

Answer 1

Answer:

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Answer 2

$\huge\bold{Answer\:=\:-3}$

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$\huge\underline\mathfrak\blue{Solution}$

p(x) = x³+3x+1

By using remainder theorem,

let x+1=0

x = -1

Therefore,

put x = -1 in polynomial p(x).

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p(-1)=(-1)³+3(-1)+1

p(-1)=(-1)-3+1

p(-1)=-3

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Hence, Remainder = -3