Question

Factorise:2x^3-5x^2+x+2

Answer 1

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$= > \: 2 {x}^{3} - 5 {x}^{2} + x + 2 \\ \\ = 2 {x}^{3} - 4 {x}^{2} - {x}^{2} + 2x - x + 2 \\ \\ = 2 {x}^{2} (x - 2) - x(x - 2) - 1(x - 2) \\ \\ = (x - 2)(2 {x}^{2} - x - 1) \\ \\ = (x - 2)(2 {x}^{2} - 2x + x - 1) \\ \\ = (x - 2)(2x(x - 1) + 1(x - 1)) \\ \\ = (x - 2)(x - 1)(2x + 1)$
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