Question

Find the value of k ,if x+k is a factor of f(x)=x³+kx²-2x+k+5​

Answer 1

Answer:

k=-5/3

Step-by-step explanation:

That's pretty simple ,

If x+ k is factor then x=-k is the root of this equation then after putting value of x=-k in this equation,

We get -k^3+k^3–2(-k)+k+5=0

i.e 3k=-5

i.e k=-5/3 answer

Answer 2

Answer:

-5/3

Step-by-step explanation:

x+k = 0

x = -k

f(-k) = (-k)^3 + k(-k)^2 - 2(-k) + k + 5

0=(-k^3) + (k^3) + 2k + k + 5

0=3k+5

Hence k = -5/3

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