Description
f(x) = x^{3} + 4x^{2} - 25x - 28
- Factors of -28 (x^{0} term) go into the numerator; ±1, ±2, ±4, ±7, ±14, ±28
- Factors of 1 (x^{3} term) go into the denominator: ±1
- Because the denominator is always ±1, the possible rational zeros are all integers
- f(-7) = f(-1) = f(4) = 0 All other x values produce f(x) ≠ 0
- Factored form of f(x) is: f(x) = (x+7)(x+1)(x-4)