Question

the sum of the reminders obtained when(x^3+(k+8)x+k) is divided by (x+1) is zero. Find the value of k

Answer 1

Answer:

【H】【e】【y】

Step-by-step explanation:

f(x) = x^3 + (k+8) x + k,

g(x) = x-2

h(x) = x+1

Take     x-2=0

            x=2

f(2) = 8 + (k+8) 2+k

    = 8 + 2k+16 + k

    = 24 + 3k

Take    x + 1 =0

           x = -1

f(-1) = -1 + (k+8) (-1) -5

      = -1 - k - 8 + k

      = -9

Now, Add the remainders

3k + 24- 9 = 0

3k + 15 =0

k = -5

Answer 2

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