Respuesta :
Answer:
f(x) = [tex]x^2 (x + 7i)(x - 7i)[/tex]
Step-by-step explanation:
The given function is f(x) = [tex]x^4 + 49x^2[/tex]
Here x^2 is a common factor, so we take out and write the remaining term inside the parenthesis.
f(x) = [tex]x^2 (x^2 + 49)[/tex]
f(x) = [tex]x^2 (x^2 - (7i)^2)[/tex] [Here i^2 = -1]
We know that a^2 - b^2 = (a +b)(a-b) using this identity, we get
f(x) = [tex]x^2 (x + 7i)(x - 7i)[/tex]
