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What is the remainder when P x )= x² X 1 is divided by x 1?

Sagot :

When x^2−x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^2−x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^2−x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^2−x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x=−1 in the expression x^2−x+1.

x^2−x+1 = (−1)^2−(−1)+1

x^2−x+1 = 1−1+1

x^2−x+1 = 1

Hence, when x^2−x+1 is divided by (x+1) then remainder is 1.

To learn more about division of polynomial link is here

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The right question is:

What is remainder when x^2−x+1 is divided by (x+1)?