Factors of X2 - 5X + 6 =
- (x-2) (x-3)
- (x-3) (x-2)
- (x+2) (x-3)
- none
Explanation
Step 1: Multiply the coefficient of the first term by the constant term i.e. (6 x 1) = 6
Step 2: Find the two factors of 6 such that whose sum equals to the coefficient of the middle term, i.e. -5.
Thus, the factors are -3 and -2 as,
-3 × (-2) = 6 (Product)
-3 + (-2) = -5 (Sum)
The polynomial after splitting the middle term by using the two factors, -3 and -2 can be written as
x² - 3x - 2x + 6 = 0
x(x-3) -2(x-3) = 0
(x-3)(x-2) = 0
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