If x¹⁴⁰ + 2x¹⁵¹ + k is divisible by X + 1 then value of k is
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Step-by-step explanation:
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.
Among the given options option (A) 1 is correct.
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Some more questions :
If x+1 is a factor if the polynomial 2x²+kx, then k =
A. -2
B. -3
C. 4
D. 2
brainly.in/question/15905094
(x+1) is a factor of xⁿ+1 only if
A. n is an odd integer
B. n is an even integer
C. n is a negative integer
D. n is a positive integer
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