Using the remainder theorem,find the remainde | vedclass

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Question

(C) According to the remainder theorem,if a polynomial $p(x)$ is divided by $(x - a)$,the remainder is $p(a)$.Here,the divisor is $x + 1$,which can be

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(C) According to the remainder theorem,if a polynomial $p(x)$ is divided by $(x - a)$,the remainder is $p(a)$.Here,the divisor is $x + 1$,which can be written as $x - (-1)$.Therefore,we need to find $p(-1)$.Given $p(x) = x^3 + x^2 - 26x + 24$.Substitute $x = -1$ into the polynomial:$p(-1) = (-1)^3 + (-1)^2 - 26(-1) + 24$$p(-1) = -1 + 1 + 26 + 24$$p(-1) = 0 + 50$$p(-1) = 50$.Thus,the remainder is $50$.

Using the remainder theorem,find the remainder when the polynomial $p(x) = x^3 + x^2 - 26x + 24$ is divided by the divisor $x + 1$.

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