Question

Identify the factors of x2 + 16y2.

Answer 1

Answer: Factors will be (x+4i)(x-4i)

Step-by-step explanation:

Since we have given that

$x^2+16y^2$

We need to find the factors of the above expression:

As we know that

$a^2+b^2=(a+ib)(a-ib)$

So, Here, we have,

a = x

b = 4y

$(x)^2+(4y)^2=(x+4i)(x-4i)$

Hence, factors will be (x+4i)(x-4i)

Answer 2

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.