Find the remainder when x^{3}+3x^{2}+3x+1 is | vedclass

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Question

(C) Let $p(x) = x^{3} + 3x^{2} + 3x + 1$.According to the Remainder Theorem,when a polynomial $p(x)$ is divided by $(x - a)$,the remainder is $p(a)$.H

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(C) Let $p(x) = x^{3} + 3x^{2} + 3x + 1$.According to the Remainder Theorem,when a polynomial $p(x)$ is divided by $(x - a)$,the remainder is $p(a)$.Here,we are dividing by $x$,which is equivalent to $(x - 0)$. Thus,$a = 0$.To find the remainder,we calculate $p(0)$:$p(0) = (0)^{3} + 3(0)^{2} + 3(0) + 1$$p(0) = 0 + 0 + 0 + 1 = 1$.Therefore,the remainder is $1$.

Find the remainder when $x^{3}+3x^{2}+3x+1$ is divided by $x$.

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