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Number of complex zeros for the polynomial function

 

f(x)=x^4+5x^2+6

 Oct 23, 2018

Best Answer 

 #1
avatar+5088 
+1

When you say complex, do you mean non-real?

 

This is a 4th degree polynomial.  There are clearly 4 complex zeros.

 

However it looks like some of them might be real.

 

\(x^4+5x^2+6 = (x^2+3)(x^2+2)\)

 

Nope.  None of these zeros are real.  So there are 4 complex zeros.

 

Given that factors can you quickly list off what they are?

 Oct 23, 2018
 #1
avatar+5088 
+1
Best Answer

When you say complex, do you mean non-real?

 

This is a 4th degree polynomial.  There are clearly 4 complex zeros.

 

However it looks like some of them might be real.

 

\(x^4+5x^2+6 = (x^2+3)(x^2+2)\)

 

Nope.  None of these zeros are real.  So there are 4 complex zeros.

 

Given that factors can you quickly list off what they are?

Rom Oct 23, 2018

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