SOLUTION: The function is: f(x)= x(2-x)(x+3)^2 Give each zero and it's mulplicity. There are three.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The function is: f(x)= x(2-x)(x+3)^2 Give each zero and it's mulplicity. There are three.      Log On


   

Question 575893: The function is: f(x)= x(2-x)(x+3)^2


Give each zero and it's mulplicity. There are three.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= x(2-x)(x+3)^2

0= x(2-x)(x+3)^2

x(2-x)(x+3)^2 = 0

x=0 or 2-x = 0 or (x+3)^2 = 0

x=0 or x = 2 or x = -3


The first two zeros are of multiplicity 1 and the last zero is of multiplicity 2.