Question

Factorise.... asap... thanks

Answer 1

${x}^{3} - 8 {x}^{2} + 17x - 10$

$= {x}^{3} - {x}^{2} - 7 {x}^{2} + 7x + 10x - 10$

$= {x}^{2} (x - 1) - 7x(x - 1) + 10(x - 1)$

$= ( {x}^{2} - 7x + 10)(x - 1)$

$= ( {x}^{2} - 5x - 2x + 10)(x - 1)$

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

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

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