Question

find the value of K, if (X-1) is afactor of 4x^3+3x^2-4x+k

Answer 1

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

$If \: (x-1) \:is \:a \: factor \:of \: p(x) \:then$

$p(1) = 0$

$\implies 4\times 1^{3} + 3 \times 1^{2} - 4 \times 1 + k = 0$

$\implies 4 + 3 - 4 + k = 0$

$\implies 3 + k = 0$

$\implies k = -3$

Therefore.,

$\red{ Value \: of \: k }\green { = -3 }$

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