Question

If x-2 is a factor of x^3 + kx^2 - x + 2 find the value of k?!



please answer!!​

Answer 1

Answer:

x-2 is a factor

that is x-2=0

x=2 then,

f(x)=2

8+4k-2+2=0

8+4k=0

4k= -8

k= -2

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Answer 2

Answer:

$if \: x - 2 \: is \: a \: factor \\ \\ x = 2 \\ \\ {x}^{3} + k {x}^{2} - x + 2 = 0 \\ \\ {(2)}^{3} + k {(2)}^{2} - 2 + 2 = 0 \\ \\ 8 + 4k = 0 \\ \\ 4k = - 8 \\ \\ k = \frac{ - 8}{4} = - 2 \\ \\ hope \: it \: helps$