After solving, the reaminder is 1 if x^3-2x^2+X+1 is divided by x-1.
In the given question we have to find the remainder if x^3-2x^2+X+1 is divided by x-1.
The given equation is x^3-2x^2+X+1.
We have to divide this equation by x-1 to find the remainder.
To find the remainder we firstly find the value of x from x-1. Then we put the value of x in the given equation then we can easily find the remainder.
Putting the x-1 equla to zero, so
x=1
Now putting the value of x in the given equation.
=x^3-2x^2+X+1
=(1)^3-2(1)^2+1+1
=1-2+1+1
=1
Hence, the remainder is 1 if x^3-2x^2+X+1 is divided by x-1.
To learn more about division method link is here
brainly.com/question/12520197
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