SOLUTION: f(x)=x^3-4x (Hint: x=1 is a triple root) please explain step by step I would really really appreciate any help

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: f(x)=x^3-4x (Hint: x=1 is a triple root) please explain step by step I would really really appreciate any help      Log On


   

Question 172910: f(x)=x^3-4x
(Hint: x=1 is a triple root)
please explain step by step
I would really really appreciate any help
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that you want to find the roots? Please post full instructions.


f%28x%29=x%5E3-4x Start with the given equation


0=x%5E3-4x Plug in f%28x%29=0


0=x%28x%5E2-4%29 Factor out the GCF "x"


0=x%28x%2B2%29%28x-2%29 Factor x%5E2-4 to get %28x%2B2%29%28x-2%29 (by using the difference of squares)



Now set each factor equal to zero:


x=0, x%2B2=0 or x-2=0


x=0, x=-2 or x=2 Now solve for x in each case



So the roots are

x=0, x=-2 or x=2