SOLUTION: is x+4 a factor of x^3+3x^2-10x-24?

Algebra ->  Trigonometry-basics -> SOLUTION: is x+4 a factor of x^3+3x^2-10x-24?      Log On


   

Question 586448: is x+4 a factor of x^3+3x^2-10x-24?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If %28x%5E3%2B3x%5E2-10x-24%29%2F%28x%2B4%29 has a remainder of zero, then x%2B4%29 is a factor of x%5E3%2B3x%5E2-10x-24
%28x%5E3%2B3x%5E2-10x-24%29%2F%28x%2B4%29+=+x%5E2-x-6 and there is no remainder, so x%2B4 is a factor of x%5E3%2B3x%5E2-10x-24