Question

Find all x-intercepts of the function. Express your answer as a list of x-values.

f(x)=x ^5-3x^3

Answer 1

`x=0` and
`x=\pm√(3)`

Explanation:

`f(x)=x^5-3x^3`

`0=x^5-3x^3`

`x^5-3x^3=0`

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

`x^3=0` and
`x^2-3=0`

`x=0` and
`x=\pm√(3)`

See the graph for a visual of the x-intercepts.