Question

find the remainder (without division) when 4x3 _3x^+2x-47 is divisible by x+2​

Answer 1

$Let \: p(x) = 4x^{3} - 3x^{2} + 2x - 47$

$If \: (x+2) \:is \: divided \:by \: p(x) \:then \:the$

$remainder \: is \: p(-2)$

$p(-2) = 4(-2)^{3} - 3(-2)^{2} + 2(-2) - 47$

$= 4 \times (-8) - 3\times 4 - 4 - 47$

$= -32 - 12 - 4 - 47$

$= -95$

Therefore.,

$\red{ Required \: Remainder }\green {= -95}$

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