Answer:
x = - 5 , x = 7
Explanation:
to find the zeros, let y = 0 , that is
x² - 2x - 35 = 0
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 , then
x² - 2x - 35 = (x - 7)(x + 5) = 0
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 7 = 0 ⇒ x = 7