The way to find the factores is by seeking the polonomial's roots, or zeros!
To find the roots, we set the polinomial equation to zero:
x^2+16y^2=0
Then we solve this equation:
x^2=-16y^2
This is only true, if x=y=0.
Answer: Factors will be (x+4i)(x-4i)
Step-by-step explanation:
Since we have given that
[tex]x^2+16y^2[/tex]
We need to find the factors of the above expression:
As we know that
[tex]a^2+b^2=(a+ib)(a-ib)[/tex]
So, Here, we have,
a = x
b = 4y
[tex](x)^2+(4y)^2=(x+4i)(x-4i)[/tex]
Hence, factors will be (x+4i)(x-4i)
