How do you find all the zeros of #f(x)=x(x+4)(x-2)^3# with its multiplicities?

1 Answer
Aug 11, 2016

Answer:

#x=0, &, x=-4,# each with single multiplicity; #x=2,# with multiplicity#=3#

Explanation:

To find the zeroes of a poly. #f(x)#, we need to solve the eqn. #f(x)=0#

In our case, #f(x)=0 rArr x(x+4)(x-2)^3=0#

#rArr x=0, or, x+4=0, or, x-2=0#

#rArr x=0, &, x=-4,# each with single multiplicity; #x=2,# with multiplicity#=3#