SOLUTION: Find the x-intercepts for y=x^3(x+2)(3x-1)

Question 36950: Find the x-intercepts for y=x^3(x+2)(3x-1)
Answer by mbarugel(146) (Show Source): You can put this solution on YOUR website!
Hello!
An x-intercept is a value of x that makes y equal to zero.
In your case, we have:

Clearly, since they are all multiplied, if any of the terms , or is equal to zero, then y will be equal to zero. So let's find the x-intercepts:

This term is equal to 0 when x = 0. So one of the x-intercepts is x = 0

This term is equal to zero if x = -2. So another x-intercept is x= -2

This term is equal to zero if x = 1/3. So another x-intercept is x = 1/3.
So the three x-intercepts for this equation are: 0, -2, 1/3

I hope this helps!
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