If p(x) = x^{3} - 3x^{2} - x + 3 is divided b | vedclass

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(C) According to the Remainder Theorem,if a polynomial $p(x)$ is divided by $(x - a)$,the remainder is $p(a)$.Here,$p(x) = x^{3} - 3x^{2} - x + 3$ and

Vedclass · Accepted Answer

$0$

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(C) According to the Remainder Theorem,if a polynomial $p(x)$ is divided by $(x - a)$,the remainder is $p(a)$.Here,$p(x) = x^{3} - 3x^{2} - x + 3$ and the divisor is $(x - 1)$,so $a = 1$.To find the remainder,calculate $p(1)$:$p(1) = (1)^{3} - 3(1)^{2} - (1) + 3$$p(1) = 1 - 3(1) - 1 + 3$$p(1) = 1 - 3 - 1 + 3$$p(1) = 0$.Therefore,the remainder is $0$.

If $p(x) = x^{3} - 3x^{2} - x + 3$ is divided by $x - 1$,then the remainder is .............

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