Answer:
Factors are (x-1) (x-3)
Step-by-step explanation:
X^2-4x+3 = 0
x² - x - 3x + 3 =0
x(x - 1) -3(x - 1) = 0
(x-1) (x-3) =0
(x - 3)(x - 1)
Consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term.
The factors are - 3 and - 1, since
- 3 × - 1 = + 3 and - 3 - 1 = - 4, hence
x² - 4x + 3 = (x - 3)(x - 1) ← in factored form
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