If (x+5) is a factor of p(x)=x^3-20x+5k ...

If `(x+5)` is a factor of `p(x)=x^3-20x+5k` then `k=? `

A

`-5`

B

`5`

C

`3`

D

`-3`

Verified by Experts

The correct Answer is:

B

Let `p(x) = x^3-20x+5k`.
Since `(x+5)` is a factor of `p(x)`,we have ` p(-5)=0`.
` therefore (-5)^3-20xx (-5)+5k=0 rArr 5k =25rArr k=5`.

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