Question

If (x+2),is a factor of 2x3 - 5x + k, then the value of k is ​

Answer 1

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Answer 2

$\textbf{Solution}$:

Given that, (x+2) is a factor of p(x).

p(x) = 2x³ - 5x + k

p(-2) = 0

2(-2)³ - 5(-2) + k = 0

-16 + 10 + k = 0

k = 6

$\textbf{Answer}$:

So, the value of k is 6.