Question

x4-x3+x2-x+1 if (x+1) as a factor​

Answer 1

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