Question

Determine whether (x-1) is a factor of x4-x3+x2-1 ​

Answer 1

Answer:

Step-by-step explanation:

The zero of x+1 is −1

Let p(x)=x  

4

+x  

3

+x  

2

+x+1

Then, p(−1)=(−1)  

4

+(−1)  

3

+(−1)  

2

+(−1)+1

                     =1−1+1−1+1=1

Since, p(−1)



=0

Therefore, by Factor theorem, x+1 is not a factor of x  

4

+x  

3

+x  

2

+x+1

Answer 2

Answer:

x-1 is not a factor of x4-x3+x2-1

Step-by-step explanation:

x-1=0

x=1

p(x) = x4 - x3 + x2 - 1

sub value of x in p(x)

=> (1)4 - (1)3 + (1)2 -1

= 4 - 3 + 2 -1

= 1 + 1

= 2

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