Here we need to see which factored expression is equivalent to the polynomial x^2 - 8x + 16.
We will find that the correct option is: (x - 4)^2
Now let's see how to get this.
Remember the expansion:
(x + a)^2 = x^2 + 2*a*x + a^2
In our polynomial x^2 - 8x + 16 we can see that the second term is negative, thus we must have something like:
(x - a)^2 = x^2 - 2*a*x + a^2
Also the constant digit is 16, then:
a^2 = 16
a = √16 = 4
Thus the polynomial is: (x - 4)^2
Expanding this we get:
(x - 4)^2 = x^2 - 2*4*x + 16 = x^2 - 8*x + 16
If you want to learn more, you can read:
https://brainly.com/question/12787576
