Question

factorise 3x⁴-6x³-9x+18
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Answer 1

Answer:

$3(x - 1)(x + 1)(x - 2)$

Step-by-step explanation:

$3 {x}^{4} - 6 {x}^{3} - 9x + 18 = 3 {x}^{2} ( {x}^{} - 2) - 3(x - 2) \\ = (3 {x}^{2} - 3 )(x - 2) \\ = 3 ( {x}^{2} - 1)(x - 2) \\ = 3(x - 1)(x + 1)(x - 2)$