SOLUTION: help solve the following: factor completely -6x^6-30x^5+84x^4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: help solve the following: factor completely -6x^6-30x^5+84x^4      Log On


   

Question 490548: help solve the following:
factor completely
-6x^6-30x^5+84x^4
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
-6x%5E6-30x%5E5%2B84x%5E4 Rewrite this as:
-%286x%5E4%29%28x%5E2%29-%286x%5E4%29%285x%29%2B%286x%5E4%29%2814%29 Now factor the common factor of -6x%5E4 and you'll get:
-6x%5E4%28x%5E2%2B5x-14%29 Notice the sign changes inside the parentheses. Now factor the quadratic expression in the parentheses.
highlight%28-6x%5E4%28x%2B7%29%28x-2%29%29