SOLUTION: Use factor theorem ad synthetic division to determine which if the following is/are a factor of: x^3 − 2x^2 + 3x − 6 A) x − 2 B) x + 1 C) x − 1 D) x + 2

Algebra ->  Testmodule -> SOLUTION: Use factor theorem ad synthetic division to determine which if the following is/are a factor of: x^3 − 2x^2 + 3x − 6 A) x − 2 B) x + 1 C) x − 1 D) x + 2      Log On


   



Question 1154817: Use factor theorem ad synthetic division to determine which if the following is/are a factor of:
x^3 − 2x^2 + 3x − 6
A) x − 2 B) x + 1 C) x − 1 D) x + 2

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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I will use the grouping method


    x^3 - 2x^2 + 3x - 6 = (x^3 - 2x^2) + (3x - 6) = x^2*(x-2) + 3*(x-2) = (x-2)*(x^2+3).


The factors are (x-2) and (x^2+3).


One of them is from your list.