The polynomial function f(x) = x² - 2x + 6 has no rational root
How to determine the factors of the polynomial
From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 2x + 6
We calculate the discriminant to calculate if the polynomial has a factor using
d = b² - 4ac
Where
a = 1, b = -2 and c = 6
Substitute the known values into the equation
d = (-2)² - 4 * 1 * 6
Evaluate
d = -20
This value is less than 0
It means that it has no rational root