Factor. find the roots. show your work.
f(n) = n^2 - 6n - 16

n = - 2, n = 8

Step-by-step explanation:

To obtain the roots equate f(n) to zero, that is

n² - 6n - 16 = 0

To factor consider the quadratic

Consider the factors of the constant term (- 16) which sum to give the coefficient 0f the n- term (- 6)

The factors are - 8 and + 2, since

- 8 × 2 = - 16 and - 8 + 2 = - 6, hence

(n - 8)(n + 2) = 0

Equate each factor to zero and solve for n

n - 8 = 0 ⇒ n = 8

n + 2 = 0 ⇒ n = - 2

d

step-by-step explanation: