Answer:
B
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
The factors are - 5 and - 7, since
- 5 × - 7 = + 35 and - 5 + - 7 = - 12, hence
x² - 12x + 35 = (x - 5)(x - 7) → B
B. (x - 5)(x - 7).
x^2 - 12x + 35
We need 2 numbers whose product = +35 and sum = -12.
These are -5 and -7.
So the factors are (x - 5)(x - 7).