Answer:
(x - 5)(x - 7)
Step-by-step explanation:
Given
x² - 12x + 35
Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)
The factors are - 5 and - 7, since
- 5 × - 7 = 35 and - 5 - 7 = - 12, thus
x² - 12x + 35 = (x - 5)(x - 7) ← in factored form
