Question

What is x3−4x2+5x−2 divided by x2−2x+1 ? Enter your answer in the box.

Answer 1

The answer is x-2

Explanation:

I took the test :)

Answer 2

x -2

Explanation:

Using synthetic division or polynomial long division, you can determine the quotient to be (x-2) with no remainder.

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If you assume that there is no remainder, you can take a little shortcut:

• The first term of the binomial quotient is x^3/x^2 = x
• The last term of the binomial quotient is -2/1 = -2

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If you're used to doing synthetic division by a binomial, you can do that here by factoring x^2-2x+1 to (x -1)(x -1). That is, you do the synthetic division twice with root x=1 to find the answer to your division problem.