Question

Find all solutions, one factor has been given.
f(x) =x3-3x2-25x+75; (X-5)

Answer 1

(x-3) (x+5) (x-5)

Explanation:

given: x3-3x2-25x+75

we know that one factor is 5

so we can use that to get its next factors using Synthetic division

5 | 1 -3 -25 75

| 5 10 -75

1 2 -15 0

Know we have the next equation

x^2 +2x -15

and we know two number that can factor 3,5

(x-3) (x+5)