Question

ONLY FOR AMAZING PEOPLE
find the remainder when 3x^4 - 4x^3 - 3x -1 is divided by x-1 using reminder theorem ​

Answer 1

$x -1 = 0$

$x = 1$

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$p(x) = {3x}^{4} - {4x}^{3} - 3x - 1$

$p(1) = {3×1}^{4} - {4×1}^{3} - 3×1 -1$

$\implies$$3-4-1$

$\implies$$-1-1$

$\implies$ $-2$

Hence,the remainder will be -2