SOLUTION: Hi, I know how to do it if it is like: x^3+x^2+x+2 but not in this way: Find the complex zeros of each polinomial function. Write f in factored form. f(x)= x^4+5x^2+4 Show

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Question 852772: Hi, I know how to do it if it is like: x^3+x^2+x+2 but not in this way:
Find the complex zeros of each polinomial function. Write f in factored form.
f(x)= x^4+5x^2+4
Show me the work please. Thanks
Found 2 solutions by josmiceli, ewatrrr:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

Make this substitution:
Let

Complete the square




Take the square root of both sides


and also


----------------
By substitution:



and



--------------
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

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

f(x)= (x^2 + 4)(x^2 + 1) = 0

        x^2 = -4,  x = 2i, -2i

        x^2 = -1,  x = i, -i 

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