Factor v^2-2v-35 ...

(v - 7) (v + 5)

Step-by-step explanation:

Given

v² - 2v - 35

Consider the factors of the constant term ( - 35) which sum to give the coefficient of the v - term ( - 2)

The factors are - 7 and + 5, since

- 7 * 5 = - 35 and - 7 + 5 = - 2, hence

v² - 2v - 35 = (v - 7) (v + 5)