By factorizing x² + 16 we get the factors as (x + 4i) • (x − 4i).
What is factorization?
Here given the equation x² + 16 .
To factor x² + 16 with our imaginary number, we will use the sum of squares formula:
a2 + b2 = (a + bi) • (a − bi)
We begin by defining our problem in mathematical terms, as follows:
x² + 16
As you can see, our problem does not match the left side of the formula, so we must first convert it to match the left side, as follows:
x² + 16 = x² + 4²
Now that it corresponds, we can simply enter x for a and 4 for b into the formula to obtain the factors of x² + 16:
(x + 4i) • (x − 4i)
To learn more about factorization refer to :
https://brainly.com/question/25829061
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