Question

If x¹⁴⁰ +2x¹⁵¹+k is divisible by x+1 ,then value of k is *
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Answer 1

Answer:

Let f (x) = x¹⁴⁰ + 2x¹⁵¹ + k

Since, x + 1 is a factor of f (x) then f (- 1) = 0

On Substituting x = - 1 in f (x),

(-1)¹⁴⁰ + 2(-1)¹⁵¹ + k = 0

1 - 2 + k = 0

k = 2 - 1

k = 1

Hence, the value of k is 1.