SOLUTION: Show work, find the complex zeros of the polynomial function, and write f in factored form. f(x)=x⁴+22x²+21

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Question 672282: Show work, find the complex zeros of the polynomial function, and write f in factored form.
f(x)=x⁴+22x²+21

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
f(x) = x^4 + 22x^2 + 21
f(x) = (x^2 + 21)(x^2+1)
(x^2 + 21)(x^2+1)= 0 ,
(x^2 + 21)= 0, x = ±
0r(x^2+1)= 0 x = ± i
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