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

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(A) Let $p(x) = x^4+x^3-2x^2+x+1$.According to the Remainder Theorem,if a polynomial $p(x)$ is divided by $(x-a)$,the remainder is $p(a)$.Here,the div

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$2$

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(A) Let $p(x) = x^4+x^3-2x^2+x+1$.According to the Remainder Theorem,if a polynomial $p(x)$ is divided by $(x-a)$,the remainder is $p(a)$.Here,the divisor is $x-1$,so $a = 1$.Now,calculate $p(1)$:$p(1) = (1)^4 + (1)^3 - 2(1)^2 + 1 + 1$$p(1) = 1 + 1 - 2(1) + 1 + 1$$p(1) = 1 + 1 - 2 + 1 + 1$$p(1) = 2$.Therefore,the remainder is $2$.

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

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