Respuesta :

x² - 20x + 100

Find two numbers, such that its sum gives -20 and its product gives 100

If such numbers exist, this implies that the polynomial is NOT prime

The two numbers are: -10 and -10

Replace the coefficient of x with the two numbers

x² - 10x -10x + 100

x(x-10) - 10(x - 10)

(x-10)(x-10)

(x-10)²

Therefore, the correct option is A.

x² - 20x + 100 = (x-10)²