Question

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

Answer 1

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`.