Question

determine whether x+1 is a factor of x^4+x^3+x^2+1​

Answer 1

Step-by-step explanation:

x+1 is a factor of x^4+x^3+x^2+1

Answer 2

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