SOLUTION: I am working on this question and need help. Find the zeros of the polynomial function f(x)=x(x+3)^4(2x+3)^2 and state the multiplicity of each. If you can help me, I would great

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am working on this question and need help. Find the zeros of the polynomial function f(x)=x(x+3)^4(2x+3)^2 and state the multiplicity of each. If you can help me, I would great      Log On


   

Question 166404: I am working on this question and need help.
Find the zeros of the polynomial function f(x)=x(x+3)^4(2x+3)^2 and state the multiplicity of each.
If you can help me, I would greatly appreciate it.
Thanks in Advance!
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
x%28x%2B3%29%5E4%282x%2B3%29%5E2=0
then
x=0 or x+3=0 or 2x+3=0
then
x=0 or x=-3 or x=-3/2
then roots are:
0 (with multiplicity 1)
-3 (with multiplicity 4)
-3/2 (with multiplicity 2)