Question

find the remainder when the polynomial p(x)=4x^3-3x^2+2x-4 is divided by x-2

Answer 1

I hope it will help you

Answer 2

$Given \: polynomial \:p(x) = 4x^3-3x^2+2x-4 \\</p><p>and \: g(x) = x-2$

/* By Remainder Theorem */

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

$Remainder = p(2) \\= 4\times 2^{3} - 3\times 2^{2}+2\times 2 -4 \\= 4 \times 8 - 3\times 4 + 4 - 4\\= 32 - 12 \\= 20$

Therefore.,

$\red { Remainder } \green {= 20 }$

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