# What are the zeros of the polynomial function #f(x) = x(2x-1)^2(x-4)^3#?

##### 1 Answer

Feb 4, 2016

#### Answer:

If a multiplication ends in a zero, then (at least) one of the factors must be zero.

#### Explanation:

So we have three possibilities:

(1)

(2)

(3)

graph{x(2x-1)^2(x-4)^3 [-14.23, 14.25, -7.12, 7.13]}