2026 · Q30
If x = 3 − ∛3 − ∛9, then what is x(x−3)(x−6) equal to?
Elementary MathematicsAlgebra
- A−12
- B−9
- C0
- D12
Explanation
Numerically, ∛3 ≈ 1.442 and ∛9 ≈ 2.080, so x ≈ 3 − 1.442 − 2.080 ≈ −0.522. Then x(x − 3)(x − 6) ≈ (−0.522)(−3.522)(−6.522) ≈ −12.0. Among the spaced options only −12 fits, and the exact expansion with t = ∛3 (t³ = 3) confirms the product is exactly −12, option A.