SOLUTION: Find the complex zeros of the polynomial function.
Write f in factored form. Must show work.
f(x)=x^4+23x^2+22
f(x)=
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-> SOLUTION: Find the complex zeros of the polynomial function.
Write f in factored form. Must show work.
f(x)=x^4+23x^2+22
f(x)=
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You can put this solution on YOUR website! f(x) = (x^2 + 22) (x^2 + 1)
How did I fid this?
You know that if f has complex roots, it is the product of simpler functions. Now a polynomial of degree 4 usually has terms in x and x^3. This happens when you multiply four functions. So instead you want to look at the product of two functions in x^2. Let's call them x^2 + a and x^2 + b. You know ab= 22 and a+b=23, this gives you a=22 and b=1
whose two complex roots are
+- i sqrt(22)
+- i
