2021 · Q81
The expression (x³ − 1)(x² − 9x + 14)/[(x² + x + 1)(x² − 8x + 7)] simplifies to
Elementary MathematicsAlgebra
- A(x − 1)
- B(x − 2)
- C(x − 7)
- D(x + 2)
Explanation
Factor: x³ − 1 = (x−1)(x²+x+1), x² − 9x + 14 = (x−7)(x−2), x² − 8x + 7 = (x−7)(x−1). Cancelling (x−1), (x²+x+1) and (x−7) leaves x − 2. Hence option B.