Find the remainder when x^4+x^3-2x^2+x+1 | vedclass

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Question

Here,        $p(x)=x^4+x^3-2x^2+x+1$, and and the zero of $x -1$ is $1.$

So,          $p(1)=(1)^{

Vedclass · Accepted Answer

$2$

Vedclass · Answer

Here,        $p(x)=x^4+x^3-2x^2+x+1$, and and the zero of $x -1$ is $1.$

So,          $p(1)=(1)^{4}+(1)^{3}-2(1)^{2}+1+1$

                    $= 2$

So, by the Remainder Theorem, $2$ is the remainder when $x^{4}+x^{3}-2 x^{2}+x+1$ is divided by $x-1$.

Find the remainder when $x^4+x^3-2x^2+x+1$ is divided by $x -1$.

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