SOLUTION: I have a couple more problems today I need steps and solutions for if anyone would be so kind. Factor each polynomial completely, given that the binomial following it is a fa

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have a couple more problems today I need steps and solutions for if anyone would be so kind. Factor each polynomial completely, given that the binomial following it is a fa      Log On


   

Question 43966: I have a couple more problems today I need steps and solutions for if anyone would be so kind.

Factor each polynomial completely, given that the binomial following it is a factor of the polynomial.

x³ + 2x² - 5x – 6, x + 3
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Since you know x+3 is a factor, we can divide the original polynomial by it to find the "deressed" polynomial...that can be done either by long division or by synthetic division...in either case we get
x^2 - x - 2 = 0 and
(x - 2)(x + 1) = 0
x = 2 or x = -1