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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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Knowledge Check

  • If ( x+1) is a factor of the polynomial (2x^(2)+kx) then k = ?

    A
    4
    B
    `-3`
    C
    2
    D
    `-2`

  • If (x - 2) is a factor of polynomial p(x) = x^(3) + 2x^(2) - kx + 10 , then the value of k is:

    A
    10
    B
    11
    C
    12
    D
    13

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