Question

Find the zeroes of f(x) = x^3 - 5x^2 - x + 5 by factoring.

1. X = -1, 1, 3

2. X = -2, 2, 5

3. X = -1, 1, 5

4. X = -1, 1

Answer 1

3. x=-1,1,5

Explanation:

My work is in the attachment, but this method is known as "Factor by Grouping". It's essentially just reverse distribution.

*Also, I didn't notice till now, but (x-1) can be further factored into (x-1)(x+1) if it's not immediately obvious what those zeroes are.