Question

show that (x-1) is a factor of x10 -1 and also of x11 -1

Answer 1

hi friend,

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if( x-1 ) is a factor ,then 1 will be the zero

given x^10-1=(1)^10-1=0

and also x^11-1=(1)^11-1=0

so (x-1) is the factor of x^10-1,x^11-1

hence proved..

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I hope this will help u :)

Answer 2

Answer and explanation:

To show : (x-1) is a factor of $x^{10}-1$ and also of $x^{11}-1$ ?

Solution :

If x-1 is a factor then we can equate it to zero.

As $x-1=0$

$\Rightarrow x=1$

We know that factor satisfy the equation,

So, $x^{10}-1=(1)^{10}-1=1-1=0$

and $x^{11}-1=(1)^{11}-1=1-1=0$

Therefore, (x-1) is a factor of $x^{10}-1$ and also of $x^{11}-1$