SOLUTION: How is x-5 a factor of the polynomial x^2-x-20? I know that x-5 is the answer but I have no idea how to do this. Thanks for your help, Sarah

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How is x-5 a factor of the polynomial x^2-x-20? I know that x-5 is the answer but I have no idea how to do this. Thanks for your help, Sarah      Log On


   



Question 436468: How is x-5 a factor of the polynomial x^2-x-20? I know that x-5 is the answer but I have no idea how to do this.
Thanks for your help,
Sarah

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Solve x - 5 = 0, or x = 5. Then substitute into the equation:
5%5E2+-+5+-+20+=+25+-+5+-+20+=+0, so 5 is a root. Then by the factor theorem (if a is a root then x - a is a factor), x - 5 is a factor.