Question

If (x+1) is a factor of x^3+2x^2-x-2, find the remaining factors.

Answer 1

The other factors are (x-1) and (x+2).

Answer 2

Using synthetic division to divide x³ + 2x² - x - 2. Since (x + 1) is the factor, we can divide by -1. See the attached file for the synthetic division. After that, we are left with x² + x - 2. This can easily be factored into (x + 2)(x - 1). The remaining factors are (x + 2) and (x - 1).