Answer:
(x + 7)(x + 5)
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 + 7 and + 5 , since
7 × 5 = + 35 and sum = 7 + 5 = + 12, then
x² + 12x + 35 = (x + 7)(x + 5) ← in factored form