SOLUTION: For the polynomial below, list each real zero and its multiplicity. Please be sure to show all of your work. f(x) = 4(x+3)(x-1)³

Algebra ->  Rational-functions -> SOLUTION: For the polynomial below, list each real zero and its multiplicity. Please be sure to show all of your work. f(x) = 4(x+3)(x-1)³      Log On


   



Question 465717: For the polynomial below, list each real zero and its multiplicity. Please be sure to show all of your work.
f(x) = 4(x+3)(x-1)³

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For the polynomial below, list each real zero and its multiplicity. Please be sure to show all of your work.
f(x) = 4(x+3)(x-1)³
4(x+3)(x-1)^3=0
4(x+3)(x-1)(x-1)(x-1)=0
x+3=0
x=-3
or
x-1=0
x=1 (multiplicity 3)
see graph as a visual check on the answers
note: when a curve flattens out where one of the zeros are, they are multiple roots.
..

+graph%28+300%2C+300%2C+-4%2C+4%2C+-100%2C+10%2C4%28x%2B3%29%28x-1%29%5E3%29+