Solve for x in the equation x\(^3\) – 5x\(^2\) – x + 5 = 0
-
1, - 1, or 5
- 1, 1, or -5
- -1, 1, or -5
- 1, 1, or 5
The correct answer is: A
Explanation
x\(^3\) - 5x\(^2\) - x + 5 = 0.
\(x^{2}(x - 5) - 1(x - 5) = 0\)
\((x^2 - 1)(x - 5) = 0 \implies (x - 1)(x + 1)(x - 5) = 0\)
\(\therefore x = 1, -1, 5\)