SOLUTION: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor e

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor e      Log On


   



Question 915444: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor each polynomial by factoring out the opposite of the GCF:
-28a^5 - 42a^4 + 14a^3

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-28a%5E5+-+42a%5E4+%2B+14a%5E3
-2%2A2%2A7%2Aa%5E3%2Aa%5E2-2%2A3%2A7%2Aa%5E3%2Aa%2B2%2A7%2Aa%5E3
%28-1%29%282%2A7%2Aa%5E3%292a%5E2%2B%28-1%29%282%2A7%2Aa%5E3%293a%2B%282%2A7%2Aa%5E3%29

The greatest common factor is %282%2A7%2Aa%5E3%29.
The OPPOSITE of the greatest common factor is -2%2A7%2Aa%5E3.

Avoiding an intermediate step,
highlight%28%28-2%2A7%2Aa%5E3%29%282a%5E2%2B3a-1%29%29
and you could show this as:
highlight%28-14a%5E3%282a%5E2%2B3a-1%29%29