How do you factor x^3-2x^2+x-2?

1 Answer
Jun 12, 2017

(x^2+1)(x-2)

Explanation:

We factor by grouping the first term:

x^3-2x^2

Which is:

x^2(x-2)

Then factor the second term:

(x-2)

Which is:

1(x-2)

Then combine the like factors:

color(blue)x^2(x-2)+color(blue)1(x-2)

Our final answer is:

(x^2+1)(x-2)