Question

Factorise : 2x³ - x² - 13x - 6​

Answer 1

${2x}^{3} - {x}^{2} - 13x - 6 \\ = {2x}^{3} - {6x}^{2} + {5x}^{2} - 15x + 2x - 6 \\ = {2x}^{2} (x - 3) + 5x(x - 3) + 2(x - 3) \\ = (x - 3)( {2x}^{2} + 5x + 2) \\ = (x - 3)( {2x}^{2} + 4x + x + 2) \\ = (x - 3)(2x(x + 2) + 1(x + 2)) \\ = (x - 3)(x + 2)(2x + 1) \: ans..$

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