Question

Show that m-1 is a factor of m²¹-1 and m²²-1.

Answer 1

let
f(x)=m^{21} -1
and G(x)=m^22  -1
given 
     m-1 is a factor of given polynomial f(x) and G(x)
   
therfore 1 is the zeros of the given polynomial
     if we put 1 in both polynomial then the polynomial qualto zero

 hence m-1 is the factor of given polynomail 

Answer 2

Answer:

Step-by-step explanation:

Show that m-1 is a factor of m²¹-1 and m²²-1.

m²¹-1  

if m-1 is factor then m=1

iff  f(m) = 0

iff f(1) = 0

iff 1²¹ - 1 = 0

iff 1 - 1 =0

iff 0 = 0

which is true

so m-1 is a factor of m²¹-1

m²²-1  

if m-1 is factor then m=1

iff  f(m) = 0

iff f(1) = 0

iff 1²² - 1 = 0

iff 1 - 1 =0

iff 0 = 0

which is true

so m-1 is a factor of m²¹-1

Hence m-1 is a factor of m²¹-1 and m²²-1.