Question

if (x¹⁰⁰+2x⁹⁹+k) is divisible by (x+1) then what is the value of k​

Answer 1

Answer:

k=1

Step-by-step explanation:

(x+1) is a factor of (x¹⁰⁰+2x⁹⁹+k)

x+1=0

x=-1

Substituting the value of x...

[(-1)¹⁰⁰+2(-1)⁹⁹+k] = 0 [since -1 is the zero of the polynomial]

(1+(-2)+k) =0

-1+k=0

k=1