Question

if f(x) = kx³ -2x +k is completely divisible by (x-1) ,then value of k is
1)no such K exists
2)-1
3)1
4)0​

Answer 1

Answer:

3) 1

Step-by-step explanation:

$k {x}^{3} - 2x + k = 0 \\ x - 1 = 0 \: \: \: \: x = 1 \\ k {(1)}^{3} - 2(1) + k = 0 \\ k - 2 + k = 0 \\ 2k - 2 = 0 \\ 2k = 2 \\ k = \frac{2}{2} \\ k = 1$

Hope you get your answer