Final answer:
The polynomial factorizations are x² + 2x - 15: (x - 3)(x + 5), 2x²: 2(x²), x⁴ - 8: (x² + 2)(x² - 2), x² - 16x + 64: (x - 8)(x - 8), -x² + 4x + 2: No factorization, 4 - 9x - 2 - 5x²: No factorization.
Step-by-step explanation:
The correct match between the given polynomials and their factorizations is:
x² + 2x - 15: Factorization: (x - 3)(x + 5)
2x²: Factorization: 2(x²)
x⁴ - 8: Factorization: (x² + 2)(x² - 2)
x² - 16x + 64: Factorization: (x - 8)(x - 8)
-x² + 4x + 2: The given polynomial cannot be factorized.
4 - 9x - 2 - 5x²: The given polynomial cannot be factorized.
Only the first four polynomials have valid factorizations. The fifth and sixth polynomials cannot be factorized further.