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

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Show work, find the complex zeros of the polynomial function, and write f in factored form. f(x)=x⁴+22x²+21       Log On


   

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) About Me  (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 = ± i%2Asqrt%2821%29 

0r(x^2+1)= 0     x = ± i