Question

determine which of the following polynomial (x+1)) as a factor x4-x3+x2-x+1
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Answer 1

Step-by-step explanation:

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

I hope it can helpful for you

Answer 2

The zero of x + 1 is -1.

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

∴ P(-1) = (-1)4 + (-1)3 + (-1)2 + (-1)+1

= 1 – 1 + 1 – 1 + 1

⇒ P (-1) ≠ 1

So, (x + 1) is not a factor of x4 + x3 + x2 + x+ 1.