Question

Is x+1 a factor of
${x}^{4} + {x}^{3} + {x}^{2} + x + 1$

Answer 1

If x +1 is a factor, 
x = -1 should satisfy the equation.. Substitute x = -1, the answer should be zero for it to be a factor..

1-1+1-1+1 = 1 ≠ 0

So, x+1 is not a factor of the given equation

Answer 2

Hello Dear!!

Here's your answer...

zero of x+1 is -1.

now substitute ...

${x}^{4} + {x}^{3} + {x}^{2} + x + 1$
${ - 1}^{4} + { - 1}^{3} + { - 1}^{2} - 1+ 1$
1-1+1-1+1
1

If we get the remainder 0,then it will be a factor.

But the remainder is not 0.So it is not a factor.


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hope this helps you...