SOLUTION: Hello, I need to factor the Polynomial completely and I just don't get how to do it. If you can help me get started I might be able to figure it out. The problem is {{{-x^4+10x^3-2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, I need to factor the Polynomial completely and I just don't get how to do it. If you can help me get started I might be able to figure it out. The problem is {{{-x^4+10x^3-2      Log On


   

Question 344050: Hello, I need to factor the Polynomial completely and I just don't get how to do it. If you can help me get started I might be able to figure it out. The problem is -x%5E4%2B10x%5E3-21x%5E2
Thank you for your help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First factor out the highest power of x and the -1 too.
-x%5E4%2B10x%5E3-21x%5E2=-x%5E2%28x%5E2-10x%2B21%29
You can further factor the quadratic equation.
Look at factors of 21 that sum to -10.