Question

x cube-6x square+11x-6

Answer 1

${x}^{3} - 6 {x}^{2} + 11x - 6 \\ \\ {x}^{3} - 5 {x}^{2} - {x}^{2} + 5x + 6x - 6 \\ \\ {x}^{3} - 5 {x}^{2} + 6x - {x}^{2} + 5x -6 \\ \\ x( {x}^{2} - 5x + 6) - 1( {x}^{2} - 5x + 6) \\ \\ ( {x}^{2} - 5x + 6)(x - 1) \\ \\ ( {x}^{2} - 2x - 3x + 6)(x - 1) \\ \\ (x(x - 2) - 3(x - 2))(x - 1) \\ \\ (x - 3)(x - 2)(x - 1) \: answer$

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