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Polynomial Inequality Solution by xiaobozhang345 is a document available to read on EtoBox.
The inequality 27(4 − x²) ≤ x²(4x − x³) is solved by expanding and rearranging it to form the polynomial x³(x² − 4) − 27(x² − 4) ≤ 0. The polynomial is factored to (x − 2)(x + 2)(x − 3)(x² + 3x + 9) and analyzed for sign changes across critical points. The solution in interval notation is (-∞, -2] ∪ [2, 3].
- Author
- xiaobozhang345
- Language
- EN