Question

Check Whether X+1 Is A Factor Of X^20-1 And X^50-1

Answer 1

Answer:

x+1 is factor of f(x) and p(x)

Step-by-step explanation:

let f(x) = x²⁰-1 and p(x) = x⁵⁰ -1

g(x) = x+1

zero of g(x)

= x+1=0

= x=-1

now put f(x) = -1 and p(x) = -1

f(-1) = (-1)²⁰-1

= 1-1

= 0

p(-1) = (-1)⁵⁰-1

= 1-1

= 0

therefore,x+1 is factor of f(x) and p(x)

HOPE IT HELPS YOU!!!