Question

find the value of k if x-1 is a factor of 3x⁴-kx³-3x+4​

Answer 1

Step-by-step explanation:

so, x-1=0

x=1

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

$p(1) = 3 {(1)}^{4} - k {(1)}^{3} - 3 \times 1 + 4$

$= 3 \times 1 - k \times 1 - 3 + 4$

$= 3 - k - 3 + 4$

$= 3 - 3 - k + 4$

$= - k + 4$

$\: \: \: - k + 4 = 0$

$- k = - 4$

-to - cancel

$k = 4$

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