i) 2x³ - 3x² - 17x + 30
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➡ 2x³ - 3x² - 17x + 30
➡ 2x³ - 4x² + x² - 2x - 15x + 30
➡ 2x²(x - 2) + x(x - 2) - 15(x - 2)
➡ (x - 2)(2x² + x - 15)
➡ (x - 2)(2x² + 6x - 5x - 15)
➡ (x - 2)[2x(x + 3) - 5(x + 3)]
➡ (x - 2)(x + 3)(2x - 5)
Hence, it is solved...
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