### Need help from an expert?

The world’s top online tutoring provider trusted by students, parents, and schools globally.

The remainder when x^3 - 2x + 1 is divided by x - 1 is 0.

To find the remainder when x^3 - 2x + 1 is divided by x - 1, we can use polynomial long division.

First, we write x - 1 as a factor of x^3 - 2x + 1 by dividing x^3 by x, which gives us x^2. We then multiply x - 1 by x^2 to get x^3 - x^2. We subtract this from x^3 - 2x + 1 to get -x^2 - 2x + 1.

Next, we write x - 1 as a factor of -x^2 - 2x + 1 by dividing -x^2 by x, which gives us -x. We then multiply x - 1 by -x to get -x^2 + x. We subtract this from -x^2 - 2x + 1 to get -3x + 1.

Finally, we write x - 1 as a factor of -3x + 1 by dividing -3x by x, which gives us -3. We then multiply x - 1 by -3 to get -3x + 3. We subtract this from -3x + 1 to get 2.

Since the degree of the remainder, 2, is less than the degree of the divisor, x - 1, the remainder is simply the constant term, which is 2. Therefore, the remainder when x^3 - 2x + 1 is divided by x - 1 is 2.

Study and Practice for Free

Trusted by 100,000+ Students Worldwide

Achieve Top Grades in your Exams with our Free Resources.

Practice Questions, Study Notes, and Past Exam Papers for all Subjects!

The world’s top online tutoring provider trusted by students, parents, and schools globally.

Loading...

Loading...