The general form of the quadratic equation is:
ax² + bx + c
The given equation is:
x² - 8x + 16
By comparison:
a = 1
b = -8
c = 16
Now, to get the factors, we will need to use the quadratic formula (attached in the images).
Substituting in the formula, we would find that:
either x = 4
or x = 4
This means that we have one real root and the equation given is a perfect square equation.
This means that the simplest factored form of the equation given is:
(x-4)² which can also be written as (x-4)(x-4)
Hope this helps :)
