With the help of the remainder theorem,find t | vedclass

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(C) Let the polynomial be $p(x) = x^{3} + 7x^{2} + 17x + 25$.According to the remainder theorem,when $p(x)$ is divided by $(x - a)$,the remainder is $

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$5$

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(C) Let the polynomial be $p(x) = x^{3} + 7x^{2} + 17x + 25$.According to the remainder theorem,when $p(x)$ is divided by $(x - a)$,the remainder is $p(a)$.Here,the divisor is $x + 4$,which can be written as $x - (-4)$.Therefore,we set $x + 4 = 0$,which gives $x = -4$.Now,we calculate $p(-4)$:$p(-4) = (-4)^{3} + 7(-4)^{2} + 17(-4) + 25$$p(-4) = -64 + 7(16) - 68 + 25$$p(-4) = -64 + 112 - 68 + 25$$p(-4) = 137 - 132$$p(-4) = 5$Thus,the remainder is $5$.

With the help of the remainder theorem,find the remainder when the polynomial $x^{3}+7x^{2}+17x+25$ is divided by $x+4$.

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