SOLUTION: Find all real zeros of the function: * f(x)=-7x^4+343x^2

Question 90670: Find all real zeros of the function:
* f(x)=-7x^4+343x^2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Set the expression equal to zero

Factor out the GCF

Factor the expression (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:

, or

, or Now solve for x in each case

So our solutions are , or

Notice if we graph we get

and we can see that the graph has roots at (it's a little difficult to see this one), and , so this verifies our answer.
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