Question

facotrise the given expression 2x^3 -13x^2 +26x -15

Answer 1

$2 {x}^{3} - 13 {x}^{2} + 26x - 15$

$= 2 {x}^{3} - 2 {x}^{2} - 11 {x}^{2} + 11x + 15x - 15$

$= 2 {x}^{2} (x - 1) - 11x(x - 1) + 15(x - 1)$

$= (2 {x}^{2} - 11x + 15)(x - 1)$

$= (2 {x}^{2} - 6x - 5x + 15)(x - 1)$

$= (2x(x - 3) - 5(x - 3))(x - 1)$

$(2x - 5)(x - 3)(x - 1)$

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