Math, asked by nimmyvarghese16, 10 months ago

if 4x^3+7x^2-3x-6 is divided by x-1 the reminder is ? a)1 b)2 c)3 d)0

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Answered by kalishba2005

Answer is 2

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Answered by gjenagjena66

$p(x) = 4 {x}^{3} + 7 {x}^{2} - 3x - 6 \\ \\ g(x) = x - 1\\\\ If\: g(x) = 0 \\\\x-1=0 \\ \\x=1\\\\ By \:Remainder\: theorem,\\\\putting\:x=1 , we\:get,\\\\p(1) = 4 \times {(1)}^{3} + 7 \times {(1)}^{2} - 3 \times 1 - 6 \\ \\ p(1) = 4 + 7 - 3 - 6 \\ \\ p(1) = 11 - 9 = 2 \\ \\ Remainder = 2$

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