SOLUTION: Factor each equation to determine if it contains a quadratic factor. If so, write the the factored form of the equation. x^5 -4x^4 -12x^3=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Factor each equation to determine if it contains a quadratic factor. If so, write the the factored form of the equation. x^5 -4x^4 -12x^3=0      Log On


   

Question 110479This question is from textbook
: Factor each equation to determine if it contains a quadratic factor. If so, write the the factored form of the equation. x^5 -4x^4 -12x^3=0 This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
write the the factored form of the equation. x^5 -4x^4 -12x^3=0
:
Just by looking at it you can see that x^3 will factor out of the equation:
x^3(x^2 - 4x - 12) = 0
:
You can recognize that the quadratic can be easily factored also, so you have:
x^3(x - 6)(x + 2) = 0