Question

If x¹⁴⁰ + 2x¹⁵¹ + k is divisible by X + 1 then value of k is

Answer 1

Answer:

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.

HOPE THIS ANSWER WILL HELP YOU…

 

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