Question

check x-2 is a factor is of x3 -4x2-x+1=0​

Answer 1

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Explanation:

Given :

x-2 is a factor of ${x}^{3} - 4 {x}^{2} - x + 1 = 0$

To check :-

Whether x-2 is a factor of given equation or not

x-2=0

x-2=0x=2

Now,put x's value in the given equation to check whether x-2 is a factor or not .

=>If the equation is equal to 0 after putting X's value or in other words if x satisfy the given equation and makes equal to 0 then we say that (x-2) is a factor.

$= > {(2)}^{3} - 4 {(2)}^{2} - 2 + 1$

$= > 8 - 4 \times 4 - 2 + 1$

$= > 8 - 16 - 2 + 1$

$= > - 8 - 1 = - 9$

$= > - 9≠0$

Here,the given equation is not equal to 0

so,(x-2) is not the factor of given equation.