SOLUTION: I have to graph the following function. HInt: The leading coefficient, degree of f(x), and the zeros of f(x) f(x)=-x^2(2x-4)(x+5)^2

Algebra ->  Algebra  -> Equations -> SOLUTION: I have to graph the following function. HInt: The leading coefficient, degree of f(x), and the zeros of f(x) f(x)=-x^2(2x-4)(x+5)^2      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 364886: I have to graph the following function. HInt: The leading coefficient, degree of f(x), and the zeros of f(x)
f(x)=-x^2(2x-4)(x+5)^2
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-x%5E2%282x-4%29%28x%2B5%29%5E2
Zeros:
x%5E2=0
x=0, Multiplicity=2
.
.
2x-4=0
2x=4
x=2, Multiplicity=1
.
.
.
%28x%2B5%29%5E2=0
x%2B5=0
x=-5,Multiplicity=2
.
.
.
graph%28300%2C300%2C-8%2C4%2C-500%2C500%2C-x%5E2%282x-4%29%28x%2B5%29%5E2%29