Question

if (x - 3) is a factor of K²x³-kx² + 3kx - k, (k ≠0)​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge\tt{ Answer}$

$\sf{(x-3)\:=\:0}$

$\sf{x\:=\:3}$

$\sf{ \ k^{2} \ x^{3} - \ kx^{2}+3kx-k=0}$

Put value of x = 3 in equation

$\sf{ \ k^{2} (\ 3)^{3}- \ k(3)^{2}+3k(3)-k=0}$

$\sf{ \ 27k^{2}-9k+9k-k\:=\:0}$

$\sf{ \ 27 (k)^{2}\:=\:k}$

$\sf{k\:=\: \frac{1}{27}}$

$\tt{Value \:of \:K=\frac{1}{27}}$