How do you find the zeros of #f(x)=2x (x - 3)^3 (x + 1) (4x - 2)#?

1 Answer
Feb 28, 2016

Answer:

Zeros of #f(x)# are #x=0,3,-1# and #1/2#

Explanation:

Zeros of a function are values of variables, for which the value of function becomes zero. Hence, normally one need to factorize a polynomial function for finding its zeros.

However, as the given function is already factorized, its value will be zero for each factor becoming zero.

Hence, #2x(x−3)^3(x+1)(4x−2)# will be zero for #x=0,3,-1# or #1/2#.