Answer:
A
Step-by-step explanation:
Given
- x² + 2x + 35 ← factor out - 1 from each term
= - 1 (x² - 2x - 35)
To factor the quadratic inside the parenthesis
Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)
The factors are - 7 and + 5
since - 7 × + 5 = - 35 and - 7 + 5 = - 2, hence
x² - 2x - 35 = (x + 5)(x - 7)
- x² + 2x + 35 = - 1 (x + 5)(x - 7) → A
