Ā f(x) = x^2 (x + 7i)(x - 7i)
Step-by-step explanation:
Factoring out x^2 gives ...
Ā f(x) = x^2(x^2 +49)
The factor with 49 can be considered to be the difference of two squares, where one of the squares is -49. Then its square root is Ā±7i, and the factorization of that term is ...
Ā x^2 +49 = (x +7i)(x -7i)
So, the overall factorization of f(x) is ...
Ā f(x) = x^2(x +7i)(x -7i)