Question

If f(x) = x3 – 6x2 – 45x + 50 and X – 10 is a factor of f(x), then find

all of the zeros of f(x) algebraically.

Answer 1

x = 1 or x = -5 or x = 10

Explanation:

f(x) = x³ – 6x² – 45x + 50 = (x² + 4x -5) (x - 10) = (x - 1) (x + 5) (x - 10)

(x - 1) (x + 5) (x - 10) = 0

x = 1 or x = -5 or x = 10