Question

If x^140+2x^151+k is divisible by x+1, then the value of k is

Answer 1

Answer:

K = 1

Step-by-step explanation:

Please find the attached image.

Answer 2

Answer:

k=1

Step-by-step explanation:

Zero of ( x + 1 ) = -1.

By Remainder Theorem,

P ( x ) = x ^ 140 + 2 x ^ 151 + k

P ( 1 ) = ( -1 ) ^ 140 + 2 ( -1 ) ^ 151 + k = 0

 1 + 2 ( -1 ) + k = 0

 1 -2 + k = 0

 -1 + k = 0

 k = 1.

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