1S
Show that (x - 1) is a
factor of x power n -1
-
Answers
Answered by
4
Question:
- Show that ( x - 1 ) is a factor of ( x^n - 1 )
To show that:
Solution:
- Here, we will use mid - point theorem to proof this statement.
Firstly, ( x - 1 ) = 0
x = (1)
Now, p(x)
p(1)
( We know that any power of 1 will be always 1 , it does matter if the power is negative or positive because (1)^ (-1) = 1 and 1¹ = 1)
Since we get zero, then ( x - 1) is a factor of
(x^n - 1).
Answer:
- Therefore, it is proved that x - 1 is a factor of this polynomial.
Answered by
2
To FinD :-
Solution :-
Now, let's use the mid term theorem
We know that the power of 1 is always 1
Hence proved that, (x - 1) is a factor of xⁿ - 1
Similar questions