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If x+1 is a factor of the polynomial...

If `x+1` is a factor of the polynomial `2x^(2)+kx,` then the value of `k` is

A

`-3`

B

`4`

C

`2`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
C
Let ` " "p(x)=2x^(2)+kx`
Since ,(x+1) is a factor of p(x) then
p(-1) =0
`therefore " " 2(-1)^(2)+k(-1)=0`
`implies " " 2 -l=0implies k=2`
Hence , the value of k is 2.
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