Question

Determine( x + 1 ) as a factor of x4 + x3 + x2 + x + 1 or not ?

Answer 1

Answer:

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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:

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