can somebody help me please!,

find the complex zeros of the polynomial function. Write f in factored form.

f(x) = x^4 + 13x^2 + 36

Question

can somebody help me please!, 

find the complex zeros of the  polynomial function. Write f in factored form. 

 f(x)  = x^4 + 13x^2 + 36

anonymous · Answer

Well you can first try to find common factors of 36 which will then add to 13. Which is 9 and 4. Since you want to factor you would have
$$(x ^{2}+?)(x ^{2}+?)$$Then just put in the common factors
$$(x ^{2}+4)(x ^{2}+9)$$
If you want to check if this is right, just redistribute and you'll get the same function.
Hope this helps and Good Luck :)