Question

Show that y – 1 is a factor of y10 – 1 .

Answer 1

p(x)=y¹⁰-1

g(x)=y-1

To get zero , g(x)=0

y-1=0

y=1

p(1)= (1)¹⁰-1

= 0

Since the remainder is zero

Therefore, g(x) is the factor of p(x)