SOLUTION: F(x)=x^4+50x^2+49 Find the complex zeros & write in factored form.

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Question 956069: F(x)=x^4+50x^2+49
Find the complex zeros & write in factored form.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
F is factorable.

F%28x%29=%28x%5E2%2B49%29%28x%5E2%2B1%29

Each factor has a pair of complex zeros.
x%5E2=-49
x=0%2B-+i%2Asqrt%287%29

x%5E2=-1
x=0%2B-+i

Completely factored form,
highlight%28y=%28x%2Bi%2Asqrt%287%29%29%28x-i%2Asqrt%287%29%29%28x%2Bi%29%28x-i%29%29