Question

find the value of k if x-1 is a factor of 3x^4-kx^3-3x+4

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Answer 1

Step-by-step explanation:

$\mathtt\red{given \::- \: \: \: \: \: \: \: 3x^4-kx^3-3x+4}$

$\mathtt\red{ \implies \: 3 \times (1) ^{4} - k(1) ^{3} - 3 \times 1 + 4 = 0}$

$\mathtt\red{ \implies \: 3 - k - 3 + 4 = 0}$

$\mathtt\red{ \implies \: - k = - 4}$

$\mathtt\red{ \implies \: k = 4}$

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