SOLUTION: How do you find the complex zeroes of the ploynominal function f(x)=x^3+10x?

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Question 671880: How do you find the complex zeroes of the ploynominal function f(x)=x^3+10x?
Found 3 solutions by jim_thompson5910, ewatrrr, lwsshak3:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
f(x) = x^3+10x

0 = x^3+10x

x^3+10x = 0

x(x^2+10) = 0

x = 0 or x^2+10 = 0

x = 0 or x^2 = -10

x = 0 or x = +-sqrt(-10)

x = 0, x = i*sqrt(10) or x = -i*sqrt(10)

So the three solutions are x = 0, x = i*sqrt(10) or x = -i*sqrt(10)
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

 = 0,  IF x^2 + 10 = 0 ⇒ x = ±  zeroes are  0,,-

Note: x^2 = -10 ⇒ x = ±  0r  x = ±  

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
 How do you find the complex zeroes of the ploynominal function 

f(x)=x^3+10x

=x(x^2+10)

x=0

or

x^2+10=0

x^2=-10

x=±√-10

complex zeros: √10 i,-√10 i

note:  complex zeroes always come in pairs 

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