Answer:
C, (x - 4)(x - 2)
Explanation:
to factor x² - 6x + 8, you need to find 2 numbers that multiplied together are equal to 8 and added together that are equal to -6
we can already eliminate answers B and D, since B added together does not equal -6, and D multiplied together does not equal 8
we are left with choices A and C
in order to get a positive 8 through multiplication, we need either two positive numbers, or two negative numbers
to get a -6 through addition, we need negative numbers
lets test (x - 4)(x- 2) to see if this works in the equation, we can use FOIL to expand the equation and we get:
x² -4x - 2x + 8
x² -6x + 8
our answer would be C, (x-4)(x-2)