Question

factorise x^3+x^2-17x+15​

Answer 1

${x}^{3} + {x}^{2} - 17x + 15$

${x}^{3} + 4 {x}^{2} - 5x - {3x}^{2} - 12x + 15$

$x( {x}^{2} + 4x - 5) - 3( {x}^{2} + 4x - 5)$

$(x - 3)( {x}^{2} + 4x - 5)$

$(x - 3( {x}^{2} - x + 5x - 5)$

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

$\bf{(x - 3)(x - 1)(x + 5)} \: \:$

HENCE FACTORIZED !!